Answer: Choice A) x = 15; y = 17
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Step-by-step explanation:
The "7x+7" angle and the "112 degree" angle are congruent. They are vertical angles. So
7x+7 = 112
7x+7-7 = 112-7
7x = 105
7x/7 = 105/7
x = 15
We technically have enough to stop here, but let's keep going to find y
The "4y" angle and the "112 degree" angle are supplementary. They form a single straight line. They add to 180 degrees
So,
4y+112 = 180
4y+112-112 = 180-112
4y = 68
4y/4 = 68/4
y = 17