Question

An angle is 14° more than its complement. what is its measure

Answer 1

x+x+14=90

Combine like terms and subtract 14 from both sides:

2x=76

 

Divide bothsides by 2 to get:

x=38

So one angle is 38 degrees and the other is:

52 degrees.

Answer 2

Step-by-step explanation:

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°.