I just took a quiz and got 9/11 questions wrong, so I want to work out the two I got wrong. Attachment below

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I just took a quiz and got 9/11 questions wrong, so I want to work out the two I got wrong. Attachment below

Mathematics
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|dw:1443733607133:dw|
It asks to find Q, the right answer is 66, but I don't know how to obtain it.
9/11 What a troll

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|dw:1443733734531:dw|
|dw:1443733763742:dw|
Q + 76 + 38 = 180
but what justifies that?
No, no, like the angle theorem.
|dw:1443733937696:dw|
Yes, I understand, but it is asking me to find Q. And, I don't know why you are using 38.
|dw:1443733999374:dw|
we need to find R first to find Q
|dw:1443734080041:dw|
|dw:1443734131282:dw|
Yes, but R=76 and Q is right next to it, so why is the answer 66, if even when I take it from 180, it does not give me that.
|dw:1443734245275:dw| there's a third angle (let's call it X) that you need to find first
to use the 180 rule, you need a straight line
Q + R does NOT equal 180, since Q and R don't make a straight line when you put them together|dw:1443734334124:dw|
Right, that is where I get lost, because I don't know what to do after that.
|dw:1443734371106:dw|
notice how Q, R, and X (the third angle) make a straight line? we need to find x, and that's why we need 38
X = 38, using the corresponding angle rule|dw:1443734459130:dw|
|dw:1443734486870:dw|
Oh okay, that would be because they are same side angles? I'm sorry xd I know I ask a lot
yes, same side angles

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