Question

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

Options

• 130°

• 135°

• 90°

• 120°

Answer 1

Let the supplement of the angle be x°

Therefore, according to the given statement, the required angle measures 3x°

Since the angles are supplementary, therefore their sum must be equal to 180°

Or we can say that

`x + 3x = 180`

        `4x = 180`

          `x =180/ 4`

         ` x =45`

Thus, the supplement of  45°angle measures

3x = 3(45°)

 = 135°