Answer: 52=y and 15=x
Step-by-step explanation:
Since we know m and n are parallel that means alternate exterior angles are equal to each other.
The angle with 8x+8= the angle above the one that says 3x+7
Two angles on a line add up to 180 so 8x+8+3x+7=180
Now we can solve
[tex]8x+8+3x+7=180\\(8x+3x)+(8+7)=180\\11x+15=180\\11x+15-15=180-15\\11x=165\\\frac{11x}{11} =\frac{165}{11} \\x=15[/tex]
Now we know that x=15
The angle y and the angle of 3x+7 are corresponding angles. Corresponding angles are congruent. Subbing in 15 for x we can solve for y
[tex]3(15)+7=y\\45+7=y\\52=y[/tex]
