Question

Find the angle which is one-third of its supplementary​

Answer 1

Answer:

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Answer 2

Answer:

Given:An angle is equal to one third of its supplement.

To Find: Find its measure

Solution:

Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles.

Let the angle be x

Supplement of x = 180°-x

We are given that An angle is equal to one third of its supplement.

x=\frac{1}{3}(180-x)x=

3

1

(180−x)

3x=180-x3x=180−x

4x=1804x=180

x=45^{\circ}x=45

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So, The angle is 45^{\circ}45

∘

Step-by-step explanation:

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