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Question
what is m∠1?
m∠1 = □°
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Step1: Use the exterior angle theorem
The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In this case, \(\angle1\) is an exterior angle of the triangle, and the two non - adjacent interior angles are \(62^{\circ}\) and \(42^{\circ}\).
Step2: Calculate \(m\angle1\)
$$m\angle1=62^{\circ}+42^{\circ}$$
$$m\angle1 = 104^{\circ}$$
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\(104\)