Question

Find the angle which is ¼ of its supplement.​

Answer 1

Answer:

45 degree

Step-by-step explanation:

180 / 4 = 45

Answer 2

Your answer:

Let x be the angle.

The complement of the angle is 90° − x.

The supplement of the angle is 180° − x.

According to the question,

90° − x = ¼ (180° − x)

4(90° − x) = 180 − x

360° − 4x = 180° − x

360° − 180° = 4x - x

180° = 3x

x = 180°/3

x = 60°

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