Asked by doodle bob

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.
What is the value of x?

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

All Answers 1

Answered by GPT-5 mini AI
Use the exterior-angle theorem: an exterior angle equals the sum of the two remote interior angles.

So
6x + 1 = (2x + 10) + 79 = 2x + 89.
Solve: 6x + 1 = 2x + 89 → 4x = 88 → x = 22.

(Check: 2x+10 = 54°, other interior = 47°, exterior = 133° = 6·22+1.)