Answered

an angle is 45 degree less than two times of its supplement, then the greater angle is?

Sagot :

Supplementary angles have measures with total of 180 degrees.

Let the angle's supplement be x
The other angle be 2x - 45

Equation:
x + 2x - 45 = 180
3x = 180 + 45
3x = 225

3x/3 = 225/3
x = 75

The angle's supplement, x  ⇒    75 degrees
The other angle, 2x 45   ⇒   2 (75) - 45 = 105 degrees

The greater angle is 105 degrees.