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If five adjacent equal-sized angles are needed to form a straight line how big is each angle?
Wiki User
∙ 7y ago
Each angle is 180/5 = 36 degrees
Wiki User
∙ 7y ago
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What tools or constructions are needed to construct an equilateral triangle?
A straight edge and a protractor to mark out its 3 equal interior angles of 60 degrees.
In a parallelogram show that bisectors of adjacent angles intersect at right angles?
Label the parallelogram ABCD (with AB parallel to DC, AD parallel to BC) and the point where the angle bisectors of DAB and ABC meet X. It is needed to be shown that angle AXB is 90o.Call angle DAB a and angle ABC b. Then the bisectors of these angles are 1/2a and 1/2b.First note that for a parallelogram, opposite angles are equal, ie:ADC = ABC = aDAB = DCB = bAlso, the sum of all angles in a quadrilateral (and a parallelogram is one) in 360o. Thus:360o = DAB + ABC + BCD + CDA360o = a +b + a + b360o = 2a +2bOr dividing by 2:180o = a + band again by 2:90o = 1/2a + 1/2b - [1]Now consider triangle AXB. Angle XAB = 1/2b, XBA = 1/2b. So angle:AXB = 180o - (XAB + XBA)AXB = 180o - (1/2a + 1/2b)AXB = 180o - 90o (As shown in [1] above)AXB = 90oThus the bisectors of adjacent angles of a parallelogram meet at right angles.Opposite angles of a parallelogram can be shown to be equal by extending sides AB and DC and then using corresponding and alternate angles.Alternatively, adjacent angles of a parallelogram can also be shown to sum to 180o by extending line AB (to any point Y beyond B) and using that DAY and CBY are corresponding angles and that ABC and CBY sum to 180o since ABY is a straight line.
What is the supplement of a acute angle?
First, an acute angle is an Angle that is less than a right angle (<90°) Secondly, an obtuse angle is one that is more than a right angle but less then a straight angle (<180°) then, the complementary angles of a pair of angles is 90° or a Right angle and the complement of an acute angle is the amount needed of an unknown angle (against known angles) to make 90° or a right angle a supplementary angle are a pair of angles which, when Added together, make 180° or a straight line. and the suplement to an angle is the value of an unknow angle to to be added on to make 180°
What letters of the alphabet have 2 obtuse angles?
A, E, Y, Z, X, N I hope that helped for whatever reason you needed it for!
How many straight lines are needed to divide a regular hexagon?
That depends how many sections you wish to divide it into.
If adjacent equal sized angles are needed to form a straight angle how big is each angle?
Each angle is 180/5 = 36 degrees
If five adjacent equal sized angles are needed to from a straight angle how big is each angle?
They would be 36 degrees each because 36 multiplied by 5 is 180 degrees. The sum in degrees for a straight line is 180 degrees. Answer:36 degrees each angle
How many right angles are needed to form a straight angle?
A straight angle is a line which has an angle of 180 degrees therefore two right angles (90 degrees) make a line.
What tools or constructions are needed to construct an equilateral triangle?
A straight edge and a protractor to mark out its 3 equal interior angles of 60 degrees.
How do you draw a polygon with 4 sides and angles?
a polygon does not possess four sides and four angles, except for five and above. Therefore it is a quadilateral.
In a parallelogram show that bisectors of adjacent angles intersect at right angles?
Label the parallelogram ABCD (with AB parallel to DC, AD parallel to BC) and the point where the angle bisectors of DAB and ABC meet X. It is needed to be shown that angle AXB is 90o.Call angle DAB a and angle ABC b. Then the bisectors of these angles are 1/2a and 1/2b.First note that for a parallelogram, opposite angles are equal, ie:ADC = ABC = aDAB = DCB = bAlso, the sum of all angles in a quadrilateral (and a parallelogram is one) in 360o. Thus:360o = DAB + ABC + BCD + CDA360o = a +b + a + b360o = 2a +2bOr dividing by 2:180o = a + band again by 2:90o = 1/2a + 1/2b - [1]Now consider triangle AXB. Angle XAB = 1/2b, XBA = 1/2b. So angle:AXB = 180o - (XAB + XBA)AXB = 180o - (1/2a + 1/2b)AXB = 180o - 90o (As shown in [1] above)AXB = 90oThus the bisectors of adjacent angles of a parallelogram meet at right angles.Opposite angles of a parallelogram can be shown to be equal by extending sides AB and DC and then using corresponding and alternate angles.Alternatively, adjacent angles of a parallelogram can also be shown to sum to 180o by extending line AB (to any point Y beyond B) and using that DAY and CBY are corresponding angles and that ABC and CBY sum to 180o since ABY is a straight line.
What is the supplement of a acute angle?
First, an acute angle is an Angle that is less than a right angle (<90°) Secondly, an obtuse angle is one that is more than a right angle but less then a straight angle (<180°) then, the complementary angles of a pair of angles is 90° or a Right angle and the complement of an acute angle is the amount needed of an unknown angle (against known angles) to make 90° or a right angle a supplementary angle are a pair of angles which, when Added together, make 180° or a straight line. and the suplement to an angle is the value of an unknow angle to to be added on to make 180°
What angles are needed in volleyball?
down the line and cross court
What exterior angles are needed to make a 5 pointed star?
20
How many right angles in a parellelogram?
Generally, there are no right angles in a parallelogram, but rectangles and squares can be seen as special parallelograms, as they have all the qualities needed to be classed as parallelograms, and in addition, they have four right angles.
What other equipment needed for taking photo?
how to create photograhs of different angles andcomposition
What are a score or more facts about geometrical angles?
1 Angles are measured in degrees, minutes and seconds 2 Angles can be constructed with a straight edge and a compass 3 Angles are formed when straight lines meet at a vertex 4 Angles can be measured with a protractor 5 Angles within a triangle add up to 180 degrees 6 Angles within any polygon are: (n-2)*180 degrees whereas 'n' is number of sides 7 Angles around any polygon add up to 360 degrees 8 Angles around a circle or a point add up to 360 degrees 9 Angles greater than 0 but less than 90 degrees are acute 10 Angles that are right angles are 90 degrees 11 Angles greater than 90 but less than 180 degrees are obtuse 12 Angles greater than 180 degrees are reflex 13 Angle of elevation is looking up at an object 14 Angle of depression is looking down at an object 15 Angles add up to 90 degrees when they are complementary 16 Angles are supplementary when they add up to 180 degrees 17 Angles are formed when a transversal line cuts through parallel lines 18 Angles that are corresponding are equal 19 Angles that are alternate are equal 20 Angles of 90 degrees are formed when perpendicular lines intersect 21 Angles are equal opposite angles in a parallelogram or a rhombus 22 Angles that are opposite in a square or a rectangle are 90 degrees 23 Angles are in a ratio of tangent, sine and cosine for a right angle triangle 24 Angles are needed in trigonometry and coordinated bearings 25 Angles were used by the ancient Babylonians who once thought that it took 360 days for the universe to orbit the earth hence the reason for 360 degrees in a circle
