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Question 1179556: Here’s the last question I need help on. Thank you for anyone who solved this!!
If angle A and angle B are alternate interior angles solve for X given:
< A = 2x and B = x + 30
Answer by ikleyn(52921)   (Show Source):
You can put this solution on YOUR website! .
I solved this problem today 4 hour ago under this link
https://www.algebra.com/algebra/homework/Angles/Angles.faq.question.1179538.html
https://www.algebra.com/algebra/homework/Angles/Angles.faq.question.1179538.html
For your convenience, I copy-paste my solution here AGAIN.
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Let me start from the proper definition
+-------------------------------------------------------------------------+
| Alternate interior angles are angles formed when two parallel |
| are intersected by a transversal. |
| The angles are positioned at the inner corners of the intersections |
| and lie on opposite sides of the transversal. |
+-------------------------------------------------------------------------+
One of the first theorem of Geometry states that alternate interior angles at two parallel lines are CONGRUENT,
i.e. have equal angular measure.
It means that A = B, or
2x = x + 30.
From this equation
x = 30 degrees.
So, both angles A and B have equal measure of 2*30 = 60 degrees = 30+30 degrees. ANSWER
Solved.
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About parallel lines and associated angles see the lesson
- Parallel lines
in this site.
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Do not forget to post your "THANKS" to me for my teaching.
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