Answer:
x = 1
Step-by-step explanation:
The angles with the expression 6x + 14 and 8x + 12 are equal in size because they are "corresponding angles" that occur when two parallel lines are intersected by another.
So
6x + 14 = 8x + 12
Subtract 6x from both sides to start to isolate the variable
14 = 2x + 12
Subtract 12 from both sides to finish isolating the variable
2 = 2x
Divide both sides by 2
x = 1
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Check the math:
6x + 14 = 8x + 12
6(1) + 14 = 8(1) + 12
6 + 14 = 8 + 12
20 = 20
