Question

find m∠1. m∠1 = °

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°.

Step2: Calculate the third - angle of the first triangle

In triangle LMN, given ∠L = 70° and ∠N=90°, let the third - angle be ∠M. Then ∠M=180°-(70° + 90°)=20°.

Step3: Assume the two triangles are similar (by AA similarity if not given otherwise)

Since the right - angles are equal and we assume similarity (or other congruence/similarity conditions), the corresponding angles are equal. Angle ∠1 corresponds to ∠M.

Answer:

20