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what is m∠1? m∠1 = (square^{circ})

Question

what is m∠1? m∠1 = (square^{circ})

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the exterior angle be \(125^{\circ}\), and the two non - adjacent interior angles be \(32^{\circ}\) and \(m\angle1\). So, \(125^{\circ}=32^{\circ}+m\angle1\).

Step2: Solve for \(m\angle1\)

Subtract \(32^{\circ}\) from both sides of the equation: \(m\angle1 = 125^{\circ}-32^{\circ}\).
\(m\angle1=93^{\circ}\)

Answer:

\(93\)