Question

In figure 2.21, if ray BA || ray DE,∠C=50° and ∠D=100°. Find the measure of ∠ABC.(Hint : Draw a line passing through point C and parallel to line AB.)

Answer 1

Hope it helps...........

Answer 2

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°