SOLUTION: Hi tutors! I tried doing these two problems many times but i just don't seem to get it, can someone help me https://docs.google.com/document/d/1TnFJJDFV0zDMBSK47MO4jjwgrl5croVtCxCR

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Question 1115631: Hi tutors! I tried doing these two problems many times but i just don't seem to get it, can someone help me https://docs.google.com/document/d/1TnFJJDFV0zDMBSK47MO4jjwgrl5croVtCxCRwl12D3I/edit?usp=sharing
This leads to the questions
Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

When parallel lines get crossed by another line (which is called a Transversal), you can see that many angles are the same, as :
-Corresponding Angles are equal.
-Alternate Interior Angles are equal.
-Alternate Exterior Angles are equal.

given:
<
<
=> since || , < = <, we have
......solve for



so, <=><=><=><



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Hi tutors! I tried doing these two problems many times but i just don't seem to get it, can someone help me https://docs.google.com/document/d/1TnFJJDFV0zDMBSK47MO4jjwgrl5croVtCxCRwl12D3I/edit?usp=sharing
This leads to the questions
∡7 = 8x – 18

∡16 = ∡7 = 8x – 18 (alternate interior angles, or Z angles)

We then get: 6x + 4 = 8x – 18

6x – 8x = - 18 - 4

– 2x = - 22





∡1 = 8x – 18 = 8(11) – 18 = 88 – 18 = 700 

Answer by ikleyn(52780)   (Show Source): You can put this solution on YOUR website!
 .

Read the lesson



    - Parallel lines



in this site.





You will learn A LOT from this lesson about the angles that a transverse line makes with parallel lines, 





and it will help you to solve your problems.





 

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