# Proving Angles Congruent - Proofs

Worksheet (Geometry)

## Proving Angles Congruent - Proofs Worksheet

This geometry proofs worksheet begins with questions on the definitions of complementary, supplementary, vertical, and adjacent angles. Students must use these definitions to find the measure of angles and to complete two-column proofs. Worksheet requires an understanding of the properties of equality and congruence.

## Lesson:

To prove angles are congruent.

14

4

Yes

## Samples:

Tutor-USA.com Worksheet
Geometry
Angles – Supplementary, Complementary, Vertical, Adjacent – Proofs

1) Two angles whose measures have a sum of 180 are ________.
2) Two angles whose measures have a sum of 90 are ___________.
3) ____________ angles are two coplanar angles with a common side, common vertex, and no common interior points.

Write an equation and solve.
4) and are complementary. 2 5 and 15. Find ∠A ∠B m∠A = x − m∠B = x + the value of x, m∠A,m∠B

5) A supplement of an angle is 4 times the complement of the angle. Find the measure of the angle. Then find the measure of its complement and supplement.

6) The measure of a complement of an angle is three more than twice the measure of the angle. Find the measure of the angle and its complement.

7) A supplement of an angle is four times the measure of the angle. Find the measure of the angle.

8) Vertical Angles are always ________. (complementary, supplementary, or congruent).