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Question
If m∠A = 70°, what is the measure of the supplement of the complement of ∠A?
Sum
Solution
Let the measure of the complementary angle be a.
70° + a = 90°
a = 90° − 70°
∴ a = 20°
Let the measure of the supplementary angle of 20° be x.
20° + x = 180°
x = 180° − 20°
∴ x = 160°
Hence, the measure of the supplement of the complement of ∠A is 160°.
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