Ch. 3 Review Questions

Complete the Statement:

If a transversal is __________ to one of two parallel lines, then it is perpendicular to the other one

Complete the Statement:

The measure of the ______________ of a triangle equals the sum of the measures of the two remote interior angles.

Five of the angles of a convex hexagon have measures 112, 100, 90, 160, and 115. Find the measure of the sixth angle.

Find the number of diagonals in a polygon with 20 sides

The measure of one interior angle of a regular polygon is 170. Find the number of sides.

Always, Sometimes, Never

Two lines that do not intersect are _____ parallel.

BONUS!!Find the values of x and y:

True or False:

In a triangle there can be at most one right angle and one obtuse angle.

Complete the Statement:

If each exterior angle of a polygon has measure 15, then the polygon has _____ sides.

BONUS!!

Find the values of x and y:

True or False:

The acute angles of a right triangle are complementary.

The measure of the largest angle of a triangle is twice the measure of the smallest angle and 20 more than the measure of the third angle. Find the measure of three angles.

BONUS!!

Find the measure of angle 5:

Given: and and mABC = 150

Find the measure of angle 1:

Given: and and mABC = 150

Find the sum of the measures of the interior angles of a polygon with 7 sides.

BONUS!!

Always, Sometimes, Never

If is equiangular, then is _____ 40.

If x, 2x, and 3x are the measures of the angles of a triangle, find the value of x

Complete the Statement:

The sum of the measures of the interior angles of a octagon is _____.

BONUS!!

What kind of triangle is ABC ?

A

B

C D

E

F

G

4

4

8

8

8

15

9

17

What kind of triangle is ACD ?

A

B

C D

E

F

G

4

4

8

8

8

15

9

17

What kind of triangle is ADB ?

A

B

C D

E

F

G

4

4

8

8

8

15

9

17

What kind of triangle is FGD ?

A

B

C D

E

F

G

4

4

8

8

8

15

9

17

What kind of triangle is BCD ?

A

B

C D

E

F

G

4

4

8

8

8

15

9

17

Find the measure of one exterior angle of a regular polygon with 15 sides.

What is the same side interior angle to 5?

Always, Sometimes, Never

If two parallel lines are cut by a transversal, then the alternate interior angles are _____ supplementary.

Use inductive reasoning to predict the next two numbers of the following sequence: -1, 2, -4, 8, -16, 32, ….

True or False:Parallel lines are always coplanar

Complete the Statement:

The sum of the measures of the exterior angles in a pentagon is _____.