Question

An angle is 14° more than its complementary angle. What is its measure?

Answer 1

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°