Question

Determining a Relationship of Two Triangles
Triangle A B C. Angle B is 60.8 degrees and angle C is 57.1 degrees. Triangle X Y Z. Angle Z is 60.8 degrees and angle Y is 59.1 degrees.

Answer the questions about these triangles.

Which is the measure of angle A?

Which angle is congruent to angle B?

What can be concluded about these triangles?

Answer 1

Angle A = 180° − (60.8° + 57.1°) = 62.1°.

Angle B (60.8°) is congruent to angle Z (60.8°).

Since only one pair of angles is equal (not two), the triangles are not similar (and no information given to show congruence).