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We know: the sum of the angles measures in a triangle is 180°.
Therefore we have the equation:
64° + 75° + α = 180°
139° + α = 180° <em> subtract 139° from both sides</em>
α = 41°
α and ∠2 are Supplementary Angles - they add up to 180°.
α + m∠2 = 180°
41° + m∠2 = 180° <em>subtract 41° from both sides</em>
<h3>m∠2 = 139°</h3>