Can there be a pair of complementary angles such that both of them are equal? If yes, find the values of those angles.
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Solution
Let the measure of each angle be x.
Since the angles are complementary, their sum will be 90°. ⇒x+x=90∘ ⇒2x=90∘ ⇒x=45∘ ∴ It is possible to have a pair of equal angles that are complementary and measure of each of them will be 45∘.