Question

Find the angel whose complement is one third of its supplement

Answer 1

Step-by-step explanation:

Let the angles be 'x°'

Then,

complement of that angle — (90°-x)

supplement of that angle —(180°-x)

According to question,

90-x = 1/3(180-x)

90-x = 60-x/3

-x + x/3 = 60-90

(-3x+x)/3 = -30

-2x/3 = -30

x = 30×3/2

x = 45

Hence the required angle is 45°.

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