Question
Can there be a pair of complementary angles such that both of them are equal? If yes, find the values of those angles.
Answer: Option B
:
B
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∘.
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:
B
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∘.
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