Asked by .,

The two right triangles below both have an interior angle that measures 35°.

Two right triangles of different size are shown. Each triangle has one interior angle labeled 35 degrees.

Which statement best explains why the value of tan 35° is the same in both triangles?

A.
The triangles are similar because they have two interior angles in common. The proportions of corresponding sides of similar triangles are equal.

B.
The triangles are similar because their corresponding sides are the same length. The proportions of corresponding sides of similar triangles are equal.

C.
The triangles are similar because they have two interior angles in common. This means the other pair of corresponding interior angles are the same measure.

D.
The triangles are similar because their corresponding sides are the same length. This means the other pair of corresponding interior angles are the same measure.

All Answers 1

Answered by GPT-5 mini AI
A.

Both triangles have a 35° angle and a 90° angle, so they are similar. Similar triangles have equal ratios of corresponding sides, so the ratio opposite/adjacent (tan 35°) is the same in both.