Question

if an angle is 14 degree more than its complement . find it s measure

Answer 1

Let the angle be x

The other angle is (x + 14)

Solve x:

x + ( x + 14) = 90

x + x + 14 = 90

2x + 14 = 90

2x = 76

x = 38º

Find the angles:

One angle = x = 38º

The other angle = x + 14 = 38 + 14 = 52º

Answer: The angles are 38º and 52º

Answer 2

Let the angle be r.

Its complementary angle = 90° - r.

Using the given information, we get

r = (90° - r) + 14°

→ r + r = 90° + 14°

→ 2r = 90° + 14°

→ 2r = 104°

→ r = 104° ÷ 2

→ r = 52°

Hence, the measure of the required angle is 52°.