Congruent Triangles Exercises

Find the measure of ∠1.

Hint

If you were writing a proof, you'd use the angle addition postulate and the definition of supplementary angles.

Find the measure of ∠2.

Hint

The Exterior Angle Theorem says that an exterior angle equals the sum of the two remote interior angles. Our remote interior angles are 28° and ∠2.

Find the measure of ∠3.

Hint

Vertical angles or supplementary angles. Whichever you feel like.

Find the measure of ∠4 if it is equal to twice the measure of ∠5.

Hint

Remember that ∠3 = 111°.

What is the measure of ∠5 if it equals half the measure of ∠4?

Hint

Even doing geometry, algebra has once again come back to haunt us.

Find the measure of ∠6.

Hint

This isn't supplementary information.

Find the measure of ∠7.

Hint

Do exterior angles deserve their own theorem? We think so.