Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x + 17 and x + 53 degrees. Fin

Question

3 years ago

12

d the value of x

2 answers:

tamaranim1 [39] · Answer 1 · 2022-05-17T19:14:38+03:00

5 0

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

LekaFEV [45] · Answer 2 · 2022-05-17T17:45:32+03:00

3 0

3x+17=x+53 ( the angles are equal)
3x-x=53-17
2x=36
x=36:2
x=18