Question

If the supplement of an angle is 2/3 of itself,find the number

Answer 1

Supplementary of an angle = 2/3 of angle itself.

The angles will be 108° and its supplement will be 72°

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Answer 2

supplementary angles give sum 180

let first angle be x

so,

x + 2/3x = 180

multiplying the equation by 3 gives

3x +2x = 540

5x = 540

x = 540/5

x= 108

hence,

one angle is 108

and another is 2/3 × 108 = 72