Question

what is m∠1?
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m∠1=
◻°
45°
138°

Explanation:

Step1: Find the adjacent interior angle

The exterior angle is \(138^\circ\), so the adjacent interior angle is \(180^\circ - 138^\circ = 42^\circ\).

Step2: Use triangle angle sum

The sum of angles in a triangle is \(180^\circ\). Let \(m\angle1\) be \(x\). Then \(x + 45^\circ + 42^\circ = 180^\circ\).

Step3: Solve for \(x\)

\(x = 180^\circ - 45^\circ - 42^\circ = 93^\circ\).

Answer:

\(93\)