Question

Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (25 x) degrees. Angle T S R is (57 + x) degrees. Exterior angle T R Q is (45 x) degrees.
Find the value of x.

x = 2
x = 3
x = 33
x = 52

Answer 1

The exterior angle equals the sum of the two opposite interior angles:

45x = 25x + (57 + x) = 26x + 57
19x = 57
x = 3

So x = 3.