Jose constructed Triangle DCE, where m∠D = 103° and m∠C = 22°. Remy constructed triangle PQT, where m∠Q = 22°, and m∠T = 55°. Are the two triangles similar to one another? *

Yes, because two pairs of corresponding angles in the triangles are congruent.

No, because none of the corresponding pairs of angles in the triangles are congruent.

No, because 103 + 22 ≠ 22 + 55.

There is not enough information to determine if the two triangles are similar to one another.

Question

Deanna Osborne

Mathematics

13 August, 08:13

Jose constructed Triangle DCE, where m∠D = 103° and m∠C = 22°. Remy constructed triangle PQT, where m∠Q = 22°, and m∠T = 55°. Are the two triangles similar to one another? *

Yes, because two pairs of corresponding angles in the triangles are congruent.

No, because none of the corresponding pairs of angles in the triangles are congruent.

No, because 103 + 22 ≠ 22 + 55.

There is not enough information to determine if the two triangles are similar to one another.

+3

Answers (2)

Know the Answer?

Morgan Cantrell · Answer 1

Yes

Step-by-step explanation:

They are similar by angle-angle similarly theorem

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar. (Note that if two pairs of corresponding angles are congruent, then it can be shown that all three pairs of corresponding angles are congruent, by the Angle Sum Theorem.)

Jovani Barnes · Answer 2

The missing angle in Jose's triangle is 180 - 103 - 22 = 55° and since both triangles have two congruent pairs of corresponding angles the answer is yes.