# Find The Measure of an Angle ? If

Answered

The measure of an angle whose supplement is three times as large as its complement, is

- 75 degree
- 45 degree
- 30 degree
- 60 degree

Best answer

**Answer: (2) 45 degree**

**Explanation:-**

Let the measure of an angle be X.

Then, the supplement angle of X = 180 – X

Then, complement angle of X = 90 – X

Supplement angle is three times as large as its complement.

Then, 3(90 – X ) = 180 – X

3 x 90 – 3 x X = 180 – X

270 – 3 X = 180 – X

– 3 X + X = 180 – 270

– 2 X = -90

2 X = 90

X = 90/2

X = 45 degree

Hence, the answer is (2) 45 degree.