Question

what is m∠1?
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m∠1 = □°

Explanation:

Step1: Find adjacent angle to 149°

A straight angle is 180°, so the adjacent angle inside the triangle is \( 180^\circ - 149^\circ = 31^\circ \).

Step2: Use triangle angle sum

The sum of angles in a triangle is \( 180^\circ \). Let \( m\angle1 = x \), then \( x + 117^\circ + 31^\circ = 180^\circ \).
Solve for \( x \): \( x = 180^\circ - 117^\circ - 31^\circ = 32^\circ \).

Answer:

32