0
What can be concluded about two angles that each form a linear angle with angle 4?
Wiki User
∙ 13y ago
Let's call the two angles angle 1 and angle 2. We are given that angle 1 and angle 4 form a linear angle and that angle 2 and angle 4 form a linear angle.
Because linear angles measure 180 degrees, we arrive at:
m<1 + m<4 = 180
m<2 + m<4 = 180.
By subtracting the second equation from the first, we get:
m<1 - m<2 = 0.
And finally:
m<1 = m<2.
Thus, angle 1 is congruent to angle 2.
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What kind of triangle has one acute angle and two congruent sides?
An equilateral triangle has 3 equal angles and 3 equal sides. The angles add up to 1800 and there are 3 equal angles so each is 600an equilateral triangle
What is the size of the interior angle of a regular pentagon?
108 degrees The sum of all interior angles of a polygon is equal to the following: 180n-360, where n is the number of sides. For n=5, the total of all of the angles is 180*5-360=900-360=540. Since every angle in a regular polygon, each interior angle of a regular pentagon is 540/5=108 degrees.
Diagonals bisect each other at what angels for a rhombus?
They bisect each other at an angle of 90 degrees
How it can be proved that angle between two straight lines is equal to the angle between their normals?
If two lines have angles theta1 and theta2 relative to some third arbitrary line, then the angle between those two lines is theta1 minus theta2. The normal of a line at a point is a line that is 90 degrees from the line going through that point, so the angle between a line and its normal is 90 degrees. As a result, the angle between the two normals of those lines is (theta1 plus 90) minus (theta2 plus 90), which is the same as theta1 minus theta2 because the two plus 90's cancel each other.
How can you say that if areas of two triangles are equal then they are congruent?
In order for a triangle to be congruent the two triangles have to be the same shape and size, thus they are congruent if they can be moved into an isometry or any other combination. But you're asking how a question which has two possibilities. Assuming that you have two triangles whose sides are equivalent which makes the areas equal to each other then you can state the side-side-side rule which is if the three sides of one triangle is equivalent to the other three sides of the other triangle then they are congruent. But if you have an angle present in the triangles you could argue the angle angle side rule, but if the angles are joint you would argue the angle side angle. But if one triangle has one degree and the other one has a different degree then they will not be congruent.
If two angles from a linear pair and the measure of one is four times the other what is the measure of each angle?
The two angles are 36 and 144 degrees.
Do vertical angles have to be a linear pair?
No, in fact, vertical angles can't be a linear pair. Vertical angles are opposite from each other which also make them equal each other. A linear pair has two angles adjacent to each other that eqaul 180 degrees.
What is the measure of one interior angle?
sum of external angles of a polygon is always 360° sum of 10 external angles = 360° each exterior angle = 360/10 = 36° exterior angle and interior angle forms a linear pair i.e. = 180° interior angle = 180 - 36 = 144° sum of exterior angles of polygon is = (n - 2) × 180° = (10 - 2) × 180 = 1440° so each interior angle = 1440/10 = 144° ---------
How do you determine the size of the angles of a regular hexagon?
The sum of exterior angles of any polygon= 360degreeA hexagon has 6 sides, hence 6 vertices. At each vertex there is a linear pair of one exterior angle and one interior angle. So, we get 6 exerior angles.Therefore, each exterior angle = 360 degree/6= 60 degree.Hence, each interior angle= (180 - 60) degree= 120 degree.
How many acute angles are in a 5 pointed star?
the answer is 5 each tip of the star is a acute angle and each angle on the inside of the star is an obtuse angle. there are 5 obtuse angles and no right angles.
How many remote interior angles are there for each exterior angle?
For a polygon with n sides (n angles), there are (n - 1) remote interior angles for each exterior angle.
Are there right angles in a square corner?
Each angle in a square is 90 therefore each angle is a right angle.
What is the difference between a vertical angle and an opposite angle?
Opposite angles are the angles opposite each other on an x but vertical angles are the angles that are opposite and congruent.
Rectangular prism all angles are acute angles?
rectangular prism all angles are acute angles yes or no? * * * * * No, none of the angles are acute. They are all right angles because each face is a rectangle and each angle in a rectangle is a right angle.
What are the angles of a regular octagon not including right and acute and abtouse angles?
Each exterior angle is 45 degrees Each interior angle is 135 degrees
If two angles of a triangle each measure 54 What is the measure of the third angle?
If two angles of a triangle each measure 55 what is the measure of the third angle?
What type of angle is each angle in dimond shape?
acute angles are in diamonds
