Question

What is the value of x?

x = 2.25
x = 11.25
x = 13
x = 22

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

Answer 1

x = 22

Reason: An exterior angle equals the sum of the two remote interior angles. So
6x + 1 = (2x + 10) + 79.
Solve: 6x + 1 = 2x + 89 → 4x = 88 → x = 22.