Answered

Find expert answers and community support for all your questions on IDNLearn.com. Ask anything and get well-informed, reliable answers from our knowledgeable community members.

Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. The value of x is
9
18
35
71

Sagot :

AL2006idn
When parallel lines are cut by a transversal, the alternate interior angles are equal.

3x + 17 = x + 53

Subtract 'x' from each side:

2x + 17 = 53

Subtract 17 from each side:

2x = 36

Divide each side by 2 :

x = 18

BlastedPyjamasidn
Well the sum of the alternate interior angles of a transversal cutting parallel lines should be equal to 180'. 
So (3x+17)=(x+53)
3x+17=x+53
Using transposition method-

3x-x=53-17
2x=36
x=36/2
x=18
Hopw i helped!

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.