Question

find the m∠1. m∠1 = degrees

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°. In right - triangle LMN, one angle is 90° and another is 70°. Let the third angle be $\angle M$. Then $m\angle M+90^{\circ}+70^{\circ}=180^{\circ}$.

Step2: Calculate $m\angle M$

$m\angle M=180^{\circ}-(90^{\circ} + 70^{\circ})=180^{\circ}-160^{\circ}=20^{\circ}$.

Step3: Assume the two triangles are similar (if no other information, assume corresponding angles are equal)

If the two triangles are similar, $\angle 1$ and $\angle M$ are corresponding angles. So $m\angle 1 = m\angle M$.

Answer:

$20$