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fiasKO [112]
3 years ago
10

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

Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0

Answer:

The measure of the complement angle is 18\°

Step-by-step 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\°

Alona [7]3 years ago
6 0

Answer:

18⁰

Step-by-step 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

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