Geometry-Complementary and Supplementary Angles: Quiz

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

a. 30°

Points A, B, and C are on line AC. A horizontal line has points A, B, C. A line extends from point B up and to the left to point D. Angle D B C is 140 degrees. Angle CBD has a measure of 140°. What is the measure of angle ABD?

a. 40°

Angles A and B are supplementary. Angle A has a measure of 80°. What is the measure of angle B?

The measure of angle B is 100°.

Given: Angle1 is complementary to Angle2. Angle2 is complementary to Angle3. Prove: mAngle1 = mAngle3 3 separate angles are shown. The angles are labeled 1, 2, 3 from left to right. A 2-column table with 7 rows. Column 1 is labeled statements with the entries angle 1 is complementary to angle 2, angle 2 is complementary to angle 3, question mark, measure of angle 1 = 90 degrees minus measure of angle 2, measure of angle 2 + measure of angle 3 = 90 degrees, measure of angle 3 = 90 degrees minus measure of angle 2, measure of angle 1 = measure of angle 3. Column 2 is labeled reasons with the entries given, given, definition of complementary angles, subtraction equality property, definition of complementary angles, subtraction equality property, transitive property. What is the missing statement in step 3 of the proof?

b. m1 + m2 = 90°

Angles 1 and 2 form a right angle. 2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled 1, and the bottom angle is labeled 2. Which word describes their measures?

c. complementary

Two lines are intersected by a third line. Two horizontal parallel lines are intersected by a third line. The third line intersects the top line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. The third line intersects the bottom line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7. If Angle2 Is-congruent-to Angle6, which must be true about Angle2?

d. 2 is supplementary to 8

The figure shows three lines that intersect at point N. 3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees. Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?

a. 42°

Angle ACD is supplementary to angles ACE and BCD and congruent to angle BCE. 2 lines intersect. Lines D E and A B intersect at point C. Which statements are true about the angles in the diagram? Select three options.

b. Angle BCE is supplementary to angle ACE. c. Angle BCD is supplementary to angle BCE. e. Angle BCD is congruent to angle ACE.

Rectangle QRST is shown. Angle QRT is congruent to angle STR, and angle STR is complementary to angle QTR. A rectangle has corner points Q, T, S, R from top left going clockwise. A line cuts through the rectangle from R to T. Which statement is true about angles QRT and QTR?

b. They are complementary.

Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?

b. They are complementary.