Step-by-step explanation:
angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)
therefore,
2x + 10 = 226 - 4x
6x = 216
x = 36
hence,
angle 2 = 2(36) + 10 = 82deg
Topic: Angles
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