Question

The measure of an angle is 6 less than 5 times its complement. What is the measure of the

complement?​

Answer 1

Therefore, the Two Complementary Angles are 74° and 16°.

Explanation:

Complementary Angles:

Two angles are Complementary when they add up to 90 degrees.

For Example

Complementary angles are 40 and 50.

To Find:

Complement angle measure = ?

Solution:

Let The Complement measure angle be 'x'

and its complement measure angle be 'y'

Then according to the given condition its complement angle will be

y = 5x - 6

By definition of Complementary Angles we have

x + y = 90°

x + 5x - 6 = 90

6x = 90 + 6

6x = 96

∴
`x=(96)/(6) \\\\x= 16\°`

y = 5×16 - 6 = 74°

Therefore, the Two Complementary Angles are 74° and 16°.