119k views
9 votes
Need some help on this

Need some help on this-example-1
User A Webb
by
3.7k points

1 Answer

6 votes

Hi there!

The two angles are alternate-interior angles, so:
∠A ≅ ∠B

6x + 18 = x + 93

Solve for x. Subtract x from both sides:

5x + 18 = 93

Subtract 18 from both sides:

5x = 75

Divide both sides by 5.

x = 75/5 = 15°

Now, solve for angle B by plugging in this value into the equation.

∠B = 15 + 93 = 108°

User Sgbj
by
3.4k points