Given:
2 angles,
14x + 8
16x - 8
To find:
The value of x
Steps:
Since the 2 lines are parallel and there is an intersecting line, then the angles are corresponding to each other. So,
14x + 8 = 16x - 8
Bringing the like terms together, we get
8 + 8 = 16x - 14x
16 = 2x
2x = 16
x = 16/2
x = 8
So,
14x + 8 = 14(8) + 8 = 112 + 8 = 120°
16x - 8 = 16(8) - 8 = 128 - 8 = 120°
Therefore, the value of x is 8 and the measure of the angles is 120° for both as both angles are corresponding angles
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