Question

If ray BA||ray DE,angle C=50°and angle D=100°.find the measure of angle ABC​

Answer 1

Answer:

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°