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An angle is 26° more than its complement. The measure of the angle is
- A58°
- B47°
- C57°
- D61°
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CCommunity
Two angles are Complementary when they add up to 90 degrees.
Assume that two angles ∠A & ∠B are complementary.
⇒ ∠A + ∠B = 90° ……………. (1)
According to the question, one angle is 26° more than its complement.
⇒ ∠A - ∠B = 26° …………….. (2)
[Assuming, ∠A is the bigger angle.]
Solving (1) & (2) simultaneously we get, ∠A = 58° & ∠B = 32°
In the question the measure of the bigger angle is asked so the answer is ∠A = 58°.
Assume that two angles ∠A & ∠B are complementary.
⇒ ∠A + ∠B = 90° ……………. (1)
According to the question, one angle is 26° more than its complement.
⇒ ∠A - ∠B = 26° …………….. (2)
[Assuming, ∠A is the bigger angle.]
Solving (1) & (2) simultaneously we get, ∠A = 58° & ∠B = 32°
In the question the measure of the bigger angle is asked so the answer is ∠A = 58°.