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Question

If m∠A = 70°, what is the measure of the supplement of the complement of ∠A?

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Solution

Let the measure of the complementary angle be a.
70 + a = 90
∴ a = 20°
Let the measure of the supplementary angle of 20° be x.
20 + x = 180
∴ x = 160°
Hence, the measure of the supplement of the complement of ∠A is 160°.

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