Question

Given a is parallel to b, angle 1 = 56°, and angle 2 = 42°, find the measure to the other angles. NOTE: Angles may not be drawn to scale.

Answer 1

This is going to be a pretty large answer because there are 12 angles to figure out, but here it is:
Angle 6: 56 + 42 = 98
180 - 98 = 82° = angle 6
Angle 5: 82 + 56 = 138
180 - 138 = 42° = angle 5
Angle 4: 82 + 42 = 124
180 - 124 = 56° = angle 4
Angle 3: 42 + 56 = 98
180 - 98 = 82° = angle 3
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Angle 7: 180 - 82 (angle 6) = 98° = angle 7 [C angle]
Angle 8: 180 - 98 = 82° = angle 8
Angle 9: 180 - 82 = 98° = angle 9
Angle 10: 180 - 98 = 82° = angle 10
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Angle 11: 82 (angle 8) + 82 (angle 6) = 164
180 - 164 = 16° = angle 11
[Angles in triangle add up to 180]
Angle 12: 180 - 16 = 164° = angle 12
Angle 13: 180 - 164 = 16° = angle 13
Angle 14: 180 - 16 = 164° = angle 14
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Let me know if I missed one! Hope I helped!