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In Mathematics / Middle School | 2014-07-17

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

The value of x is:
A. 9
B. 18
C. 35
D. 71

Asked by GildaVallette133

Answer (3)

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!

Answered by BlastedPyjamas | 2024-06-10

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

Answered by AL2006 | 2024-06-10

The value of x is found by setting the alternate interior angles equal to each other and solving. After the calculations, we find that x = 18 . Therefore, the chosen option is B .
;

Answered by BlastedPyjamas | 2024-09-05

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