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(a) An angle measures \( 42^{\circ} \). What is the measure of its supplement? (b) An angle measures \( 28^{\circ} \), What is the measure of its complement? measure of the supplement:

Ask by Moreno Reeves. in the United States
Mar 18,2025

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The supplement of a \(42^\circ\) angle is \(138^\circ\), and the complement of a \(28^\circ\) angle is \(62^\circ\).

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The supplement of an angle is found by subtracting it from \( 180^{\circ} \). So, for your angle measuring \( 42^{\circ} \), the supplement is \( 180^{\circ} - 42^{\circ} = 138^{\circ} \). This means that if you were to draw a straight line with the angle, you could complete the line with a \( 138^{\circ} \) angle. As for the complement, it works similarly but with \( 90^{\circ} \). For the \( 28^{\circ} \) angle, the complement is \( 90^{\circ} - 28^{\circ} = 62^{\circ} \). Imagine two angles forming a right angle; this \( 62^{\circ} \) completes that perfect \( 90^{\circ} \) turn!

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