Question

One angle is equal three times its supplement .the measure of the angle is

Answer 1

Let the angles are x and y
So x = 3y
Since these angles are supplement
So
x + y = 180
Putting value of x , then
3y +y = 180
4y = 180
y= 180 / 4
y = 45.
So x = 3y
x = 3 × 45= 135.





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Answer 2

Given,

One angle is equal to three times its supplement.

To Find,

The measure of the angle is =?

Solution,

We can solve the question as follows:

It is given to us that one angle is equal to three times its supplement.

Let the supplementary angle be x. Then the other angle will be equal to 3x.

We know that supplementary angles are two angles whose sum is equal to 180 degrees. Here, one of the angles is x and the other angle is 3x. Their sum is equal to 180 degrees.

Therefore,

$x + 3x = 180^{o}$

$4x = 180^{o}$

$x = \frac{180}{4}$

$x = 45^{o}$

Now,

The angle 3 times x = $3*45 = 135^{o}$

Hence, the measure of the angle is 135 degrees.