Complementary and Supplementary Angles

Figure LMNO is a parallelogram. Angles L and M are supplementary. What is the sum of their measures? The sum of the measures of angles L and M is _______.

180°

What is the name of angles that are directly across from one another.

Vertical angles

Angles A and B are complementary. What is the value of x?

a. 34

Angles 1 and 2 form a right angle. Which word describes their measures?

c. complementary

Angle B measures 60° What is the measure of the angle that is complementary to angle B?

a. 30°

Angle ACD is supplementary to angles ACE and BCD and congruent to angle BCE. Which statements are true about the angles in the diagram?

Angle BCE is supplementary to angle ACE. Angle BCD is supplementary to angle BCE. Angle BCD is congruent to angle ACE

Points A, B, and C are on line AC. Angle CBD has a measure of 140°. What is the measure of angle ABD?

a. 40°

Right angle FCD intersects AB and CE at point C. <FCE is congruent to <ECD. <ECD is complementary to <DCB. Which statement is true about <DCB and <ACF?

a. They are congruent and complementary.

Lines DE and AB intersect at point C. What is the value of x?

b. 25

Rectangle QRST is shown. Angle QRT is congruent to angle STR, and angle STR is complementary to angle QTR. Which statement is true about angles QRT AND QTR?

b. They are complementary.

In the figure, <RQS ~= <QLK. What is the value of x?

c. 108

Given: <1 is complementary to <2. <2 is complementary to <3. Prove: m<1 = m<3 What is the missing statement in step 3 of the proof?

b. m<1 + m<2 = 90°