SOLUTION: show me how to find the measure of each marked angle. A+B=180. A=(10x+7)B=(7x+3)

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Question 637824: show me how to find the measure of each marked angle. A+B=180. A=(10x+7)B=(7x+3)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A%2BB=180.........1
+A=%2810x%2B7%29........2
B=%287x%2B3%29....3
______________
A%2BB=180...plug 2 and 3 in 1 and solve for x
%2810x%2B7%29%2B%287x%2B3%29=180
10x%2B7%2B7x%2B3=180
17x%2B10=180
17x=180-10
17x=170
x=170%2F17
x=10.........now find A and B

+A=%2810x%2B7%29........2..plug in x
+A=10%2A10%2B7
+highlight%28A=107%29
B=%287x%2B3%29....3..plug in x
B=7%2A10%2B3
highlight%28B=73%29
check:
A%2BB=180.........1
107%2B73=180
180=180