The smaller of two supplementary angles is exactly one-third the larger one. What are the two angles

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Mathematics

Guest

24 April, 10:15

The smaller of two supplementary angles is exactly one-third the larger one. What are the two angles

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Answers (2)

Know the Answer?

Jase Wang · Answer 1

45°, 135°

Step-by-step explanation:

If their ratio is 1 : 3, the smaller is 1 / (1+3) = 1/4 of the total, so is

(1/4) ·180° = 45°

The larger is 3·45° = 135°.

The two angles are 45° and 135°.

Laura Rogers · Answer 2

45°,135°

Step-by-step explanation:

let the angles be x, y and x
x+y=180

x=1/3 y

or y=3x

x+3x=180

4x=180

x=45

y=3x=3*45=135