Problem

Find the measure of the complement and the supplement of $62^{\circ}$.
What is the measure of the complement of $62^{\circ}$ ?
$28^{\circ}$
What is the measure of the supplement of $62^{\circ}$ ?

Answer

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Answer

Final Answer: The measure of the complement of \(62^{\circ}\) is \(\boxed{28^{\circ}}\) and the measure of the supplement of \(62^{\circ}\) is \(\boxed{118^{\circ}}\).

Steps

Step 1 :Let the given angle be \(62^{\circ}\).

Step 2 :The complement of an angle is defined as \(90^{\circ}\) minus the angle. So, the complement of \(62^{\circ}\) is \(90^{\circ} - 62^{\circ} = 28^{\circ}\).

Step 3 :The supplement of an angle is defined as \(180^{\circ}\) minus the angle. So, the supplement of \(62^{\circ}\) is \(180^{\circ} - 62^{\circ} = 118^{\circ}\).

Step 4 :Final Answer: The measure of the complement of \(62^{\circ}\) is \(\boxed{28^{\circ}}\) and the measure of the supplement of \(62^{\circ}\) is \(\boxed{118^{\circ}}\).

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