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Can Someone help me to answer the question

Can Someone help me to answer the question-example-1
User Smolnar
by
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2 Answers

10 votes

Answer: 110 degrees and 70 degrees

Explanation:

These angles are same side (of the traversal line) interior (inside the parallel lines) angles. Same side interior angles sum to 180 degrees. Add the two angles together and set them equal to 180. (90-5x) + (62-2x) = 180

Combine like terms. 90+62= 152 and -5x + -2x = -7x rewrite the equation as 152 + -7x = 180

Subtract 152 from both sides of the equation.

-7x = 28. Now isolate x by dividing both sides by -7. X= -4. Now we can substitute -4 back into the original equations. 90 -5(-4) = 90 +20 = 110 and 62 - 2(-4) = 62 + 8 = 70

We can double check our work to see if these two indeed add up to 180. 110 + 70 = 180

User Lsblsb
by
4.7k points
1 vote

Answer: X = -4

Explanation:

90 - 5x + 62 -2x = 180

152 - 7x = 180

-7x = 28

x = -4

Check your answer by pluging in the vaule of x

90 - 5(-4)

90 + 20 = 110

62 - 2(-4)

62 + 8 = 70

110 + 70 = 180

Checks out.

User Thaisa
by
4.2k points