Question

Two angles have a sum of 52 degrees. The larger angle is eight less than three times the smaller angle. Find the measure of the larger angle.

Answer 1

Answer:

Let,Larger and smaller angles are x and y respectively.

Here, x+y = 52. ...(1)

and, x = 3y-8. ...(2)

Putting equation 2 to 1-

3y-8+y = 52

or, 4y = 60

or, y = 15 and x = 37

Hence, measure of larger angle is 37