Question

An angle is 4/3 of its supplement. Find its measurement.

Answer 1

Let the angle be x°.
Then, its supplement will be (4x/3)°.

Sum of two supplementary angles are 180°.

So, the equation formed is
x + (4x/3) = 180°

On solving the equation, we will get x as (540/7)°.

So, the first angle will be (540/7)° and the second angle will be (405/7)°.

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Answer 2

Let the supplement be x
Therefore,the angle =4/3x
x+4/3x=180
7/3x=180
x=180X3/7
x=77.14
Angle=180-77.14=102