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Question
find the measure of the complement and the supplement of 2°. what is the measure of the complement of 2°? what is the measure of the supplement of 2°?
Step1: Find the complement
Complementary angles sum to \(90^{\circ}\).
Let the complement be \(x\). Then \(x + 2^{\circ}=90^{\circ}\), so \(x = 90^{\circ}-2^{\circ}\).
Step2: Find the supplement
Supplementary angles sum to \(180^{\circ}\).
Let the supplement be \(y\). Then \(y + 2^{\circ}=180^{\circ}\), so \(y = 180^{\circ}-2^{\circ}\).
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The measure of the complement of \(2^{\circ}\) is \(88^{\circ}\).
The measure of the supplement of \(2^{\circ}\) is \(178^{\circ}\).