Question

In the adjoining figure if Ray BA is parallel to DE, angle C =50° and angle D=100°. Find the measure of the angle ABC.

pls tell me step by step
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Answer 1

Step-by-step explanation:

∠ABC=130°

Step-by-step explanation:

Let draw a line Parallel to BA & DE passing through C

Line is PQ passing through C

PQ∣∣BA∣∣DE

∠DCP=∠CDE

=>∠DCP=100°

∠DCP+∠DCQ=180°

100°+∠DCQ=180°

∠DCQ=80°

∠PCB=∠DCQ+∠DCB

=>∠PCB=80°+50°

=>∠PCB=130°

∠ABC=∠PCB

=>∠ABC=130°