Question

what is m∠1? 109° 33° m∠1 = ☐° submit

Explanation:

Step1: Find adjacent interior angle

The exterior angle is \(109^\circ\), so the adjacent interior angle is \(180^\circ - 109^\circ = 71^\circ\) (linear pair).

Step2: Use triangle angle sum

In a triangle, the sum of angles is \(180^\circ\). Let \(m\angle1 = x\). Then \(x + 71^\circ + 33^\circ = 180^\circ\).
Simplify: \(x + 104^\circ = 180^\circ\).
Subtract \(104^\circ\): \(x = 180^\circ - 104^\circ = 76^\circ\).

Answer:

\(76\)