The supplement of an angle is six times as large as the complement of the angle. What is the measure of the angle to the nearest whole degree?

Solution:

Complementary angles add up to 90° and supplementary angles add up to 180°

Let "a" be the required angle

Supplement of an angle = 180 - a

Complement of angle = 90 - a

The supplement of an angle is six times as large as the complement of the angle.

Therefore,

180 - a = 6(90 - a)

Simplify the above

180 - a = 540 - 6a

6a - a = 540 - 180

Combine the like terms

5a = 360

Divide both sides by 5

a = 72

Thus the measure of the angle to the nearest whole degree is 72 degrees

darn right!

step-by-step explanation:

steve kerr's sons name is let that skin in.

the answer is 0052

0 0 5 2

5 0 2 6 3 5

− 0

2 6

− 0

2 6 3

− 2 5 0

1 3 5

− 1 0 0

3 5