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Kobotan [32]
4 years ago
8

PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!! X= ____________

Mathematics
1 answer:
motikmotik4 years ago
5 0

Answer:

x = 26

Step-by-step explanation:

The parallel lines are Line l and Line m. The other line shown is the transversal.

When 2 parallel lines are cut by a trasversal it creates 4 euqual angles and another 4 equal angles of different measure.

The angle "5x + 7" is equal to the angle "8x - 71" since they are <em><u>alternate exterior angles.</u></em>

<em><u /></em>

So, we can equate both expressions and use algebra to solve for "x". The process is shown below:

5x+7=8x-71\\8x-5x=71+7\\3x=78\\x=\frac{78}{3}\\x=26

Hence,

the value of x is 26

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