Geometry: All About Angles

Right Angles

100

The measure (in degrees) of a right angle

exactly 90 degrees

200

The type of lines that form a right angle

perpendicular lines

300

This special shape has only one right angle

triangle

400

This shape has four right angles and only opposite sides are congruent

rectangle

500

This shape has four right angles and all sides are congruent

square

Vertical Angles

100

Vertical angles are always ___________.

congruent

200

If angle X and angle Y are vertical angles, and the measure of angle X is 60º, what is the measure of angle Y?

60º

300

If angle G and angle H are vertical angles, and the measure of angle G is 120º, what is the measure of angle H?

120º

400

True or False: Vertical angles are formed by the intersection of two lines (the angles on opposite sides of the intersection).

True

500

True or False: Vertical angles cannot form a linear pair.

False. They can form a linear pair. The measure of both angles would be 180º.

Adjacent Angles

100

Adjacent angles always add up to be _________.

180º

200

Adjacent angles are also __________ angles.

supplementary

300

If angle T and angle V are adjacent angles, and the measure of angle T is 40º, what is the measure of angle V?

140º

400

If angle T and angle V are adjacent angles, and the measure of angle T is 60º, what is the measure of angle V?

120º

500

If angle T and angle V are adjacent angles, and the measure of angle T = (x)º measure of angle V = (2x)º Find the measure of angle V.

120º 

Complementary Angles

100

Complementary angles add up to be ______.

90º

200

Two complementary angles will form a _______ angle.

right angle

300

If angle T and angle V are complementary angles, and the measure of angle T is 40º, what is the measure of angle V?

50º

400

If angle A and angle B are complementary angles, and the measure of angle A is 35º, what is the measure of angle B?

55º

500

If angle C and angle D are complementary angles, and the measure of angle C = (x+5)º measure of angle D= (2x+4)º Find the measure of angle C.

32º 

 x+5+2x+4=90 

3x=81 

x=27 

C= 27+5 --> 32

Supplementary Angles

100

Supplementary angles add up to be _________.

180º

200

Supplementary angles also form a __________.

a linear pair or a straight line (angle)

300

If angle T and angle V are supplementary angles, and the measure of angle T is 45º, what is the measure of angle V?

135º

400

If angle K and angle L are supplementary angles, and the measure of angle L is 105º, what is the measure of angle K?

75º

500

If angle B and angle C are supplementary angles, and the measure of angle B = (3x+1)º measure of angle C= (x+19)º Find the measure of angle C.

59º

 3x+1+x+19=180 

4x=160 

x=40 

C=40+19 --> 59