2.In the adjoining figure, p ∥ q. Find the unknown angles.
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e + 125 = 180. [linear pair]
e = 180 - 125 = 55
e = f. [ vertically opposite angles]
Hence f = 55
f + d = 180. [co interior angles]
55 + d = 180
d = 180-55 = 125
d = b. [ vertically opposite angles]
Hence b = 125
d+a = 180. [linear pair]
125 + a = 180
a = 180-125 = 55
a = c. [vertically opposite angles]
Hence c = 55
I hope this helps
e = 180 - 125 = 55
e = f. [ vertically opposite angles]
Hence f = 55
f + d = 180. [co interior angles]
55 + d = 180
d = 180-55 = 125
d = b. [ vertically opposite angles]
Hence b = 125
d+a = 180. [linear pair]
125 + a = 180
a = 180-125 = 55
a = c. [vertically opposite angles]
Hence c = 55
I hope this helps
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