Are the triangles congruent? If so, how do you know?

yes, because all the angles of the triangles are
acute

yes, because the triangles have three congruent,
corresponding angles

yes, because of ASA or AAS

not enough information given

Congruent triangles have congruent corresponding sides and angles

The true statement is (c) yes, because of ASA or AAS

Start by adding the angles of the triangles

The angles add up to 180 degrees,

This means that, the triangles have congruent corresponding angles and a congruent corresponding side

Hence, the triangles are congruent by AAS or ASA.

Read more about congruent triangles at:

link

yes, because of ASA or AAS

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.