Angles and Relationships

What are complementary angles?

• Two angles that add up to 90 degrees.

• Two angles that form a straight line.

• Two angles that are equal in measure.

• Two angles that add up to 180 degrees.

Define supplementary angles.

• Two angles whose measures add up to 270 degrees

• Two angles whose measures add up to 360 degrees

• Two angles whose measures add up to 90 degrees

• Two angles whose measures add up to 180 degrees.

Vertical angles are ____________?

• Next to each other

• congruent

Explain adjacent angles.

• Adjacent angles are angles that are perpendicular to each other.

• Adjacent angles are angles that share a common side and a common vertex, but do not overlap.

• Adjacent angles are angles that do not share a common side or vertex.

• Adjacent angles are angles that overlap completely.

Solve for x.

Find x.

• 53

• 60.3

• 60

• 170

Find the value of x. 

• 13
• 5
• 55
• 54

Use the protractor to measure the angle in degrees.

Janet is using the protractor above to draw an angle. First she draws ray ST. If Janet wants the angle to measure 50°, she should draw another ray that starts at point S and passes through -

• point v

• point x

• point w

• point z

Given that ∠XQR = 180° and ∠LQM = 180°, which equation could be used to solve problems involving the relationships between ∠XQM and ∠RQM?

• 180 + (3a + 39) = (136 − 2a)

• 
  (136 − 2a) − (3a + 39) = 180

• (3a + 39) − 180 = (136 − 2a)

• (136 − 2a) + (3a + 39) = 180