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

Question

Grace [21]

3 years ago

6

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

Mathematics

2 answers:

Elena L [17] · Answer 1 · 2022-05-15T11:32:30+03:00

Elena L [17]3 years ago

8 0

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!

irakobra [83] · Answer 2 · 2022-05-15T09:15:27+03:00

irakobra [83]3 years ago

7 0

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

<span>3x + 17 = x + 53</span>

Subtract 'x' from each side:

2x + 17 = 53

Subtract 17 from each side:

2x = 36

Divide each side by 2 :

<u>x = 18</u>