Question

If m∠2=6x+8 and m∠6=8x-6, find the value of x so that l||m.

Answer 1

x = 7

Explanation:

∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.

`m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x`