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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°


How many straight lines are needed to divide a regular hexagon?

That depends how many sections you wish to divide it into.


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!

Related Questions

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°


How many cards are needed to form a straight in poker?

In poker, a straight is formed with five cards in a sequence. So, a total of five cards are needed to form a straight in poker.


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