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The complement of an angle is one-sixth the measure of the supplement of the angle. What is the measure of the complement angle?

2 Answers

0 votes

Answer:

18⁰

Explanation:

Angle = x

Complement = 90 - x

Supplement = 180 - x

Given:

90 - x = 1/6 × (180 - x)

540 - 6x = 180 - x

5x = 360

x = 72

Complement = 90 - 72 = 18⁰

User YourAboutMeIsBlank
by
7.7k points
2 votes

Answer:

The measure of the complement angle is
18\°

Explanation:

Let

x-----> the angle

we know that

The complement of an angle is equal to
(90-x)\°

The supplement of an angle is equal to
(180-x)\°

we have

The complement of an angle is one-sixth the measure of the supplement of the angle


(90-x)\°=(1/6)(180-x)\°

solve for x


(540-6x)\°=(180-x)\°


(6x-x)=(540-180)\°


(5x)=(360)\°


x=72\°

Find the measure of the complement angle


(90-x)\° ------>
(90-72)=18\°

User Dzianis Yafimau
by
7.2k points

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