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4. SOLVE FOR X:

Using the Alternate Interior Angles Theorem, we know that the 67 degree angle is congruent with the (12x - 5) degree angle. With this information, all I have to do is set the two equal to each other and solve for x.

67 = 12x - 5

67 + 5 = 12x - 5 + 5

72/12 = 12x/12

6 = x

x = 6

SOLVE FOR Y:

Using the Vertical Angles theorem, we know that angle y must be congruent to the 67 degree angle.

y = 67 degrees.

5. SOLVE FOR Y:

Alternate exterior angles: 6(x - 12) = 120

6x - 72 + 72 = 120 + 72

6x/6 = 192/6

x = 32

SOLVE FOR Y:

6((32) - 12) + y = 180

192 - 72 + y = 180

120 + y - 120 = 180 - 120

y = 60

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Step-by-step explanation:

45 minutes

step-by-step explanation: