Question

Two alternate interior angles formed by parallel lines cut by a transversal have measures of (2x + 10)º and (3x-15)º. What is the measure of each? (Hint: Sketch the problem before you solve it.)

Answer 1

according to the rule of transversals, alternate interior angles are congruent so...

2x + 10 = 3x - 15

solve for x first and tell me what you get

Answer 2

x = 5?

Answer 3

hmm no.

2x + 10 = 3x - 15

subtract 2x from both sides

10 = x - 15

add 15 to both sides

x = 25

got it?

Answer 4

so how do i find my angles?

Answer 5

2x + 10 <--substitute 25 to x

=> 2(25) + 10

what is the result?

Answer 6

60

Answer 7

thank you so much!

Answer 8

right

Answer 9

welcome