Parallel lines and transversals
Angles and Triangles
Angles of Polygons
Using Similar Triangles
Finding Unknown measures of angles
100
What is the value of angle 1?
115
100
Find the measures of the interior angles of the triangle.
x = 62
100
Find the sum of all the interior angles of the polygon.
540
100
Tell whether the triangles are similar.
yes
100
Tell whether the angles are complementary, supplementary, or neither.
Supplementary
200
If the measure of angle 8 = 82°, then the measure of angle 3 = _____.
98
200
What is the value of x?
x = 39
200
Find the sum of all interior angles.
1080
200
Find x
x = 14
200
CLASSIFY THE ANGLES FIRST. Then find the value of x
supplementary
x = 148
300
What is the value of x?
x = 29
300
find the measures of one of the angles if this is a regular polygon.
135
300
Find the value of x
x = 16
300
Find the value of x
400
A right triangle has an exterior angle with a measure of 142°. What are the other two angles of the triangle?
52 and 38
400
Find the value of x
x = 49
400
What is the distance to the island?
24 yards
400
Find the value of x
500
To find the area of a regular polygon with more than four sides, you need to know the length of the apothem. The apothem is the distance from the center to any side of the polygon.
Once you know the length of the apothem, you can calculate the area of a regular polygon using the formula A =
1/2ans
, where a is the length of the apothem, n is the number of sides in the polygon, and s is the length of the sides.
Find the area of the regular polygon.
480
500
AB is parallel to DE. AC = 5 and CD = 13.
If the area of ABC is 11, what is the area of CDE?
28.6