Question

The measure of an angle is twice the measure of it's supplementary angle. What is its measure? ​

Answer 1

Given :

• The measure of an angle is twice the measure of its supplementary angle.

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To find :

• What is it's measure =?

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Solution :

Let the measure of the angle be 'x'.

Then its supplementary angle =(180-x)

According to the given conditions :

$\implies \sf \: x = 2(180 \degree - x) \\ \\ \implies \sf \: x = 360 \degree - 2x \\ \\ \implies \sf \: x - 360 \degree + 2 x = 0 \\ \\ \implies \sf \: 3x = 360 \degree \\ \\ \implies \boxed{ \sf{x = 120 \degree}}$

Another Angle =180-120=60 degree

Therefore two angles are 120 and 60 degree.