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Question
An angle is 14° more than its complementary angle. What is its measure?
Solution
Given that,
An angle is 14° more than its complementary angle
The angle measured is ‘x’ say
The complementary angle of ‘x’ is (90 - x)
It is given that
x- (90 - x) = 14
⇒ x - 90 + x = 14
⇒ 2x° = 90° +14°
⇒ x° = `(104°)/2`
⇒ x = 52°.
∴ The angle measured is 52°
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