Question

in fig PQ is parallel to RS. angle pab=40 degree and ACS= 123 degree. find x and y​

Answer 1

Answer:

PAB = 40⁰

ACS = 123⁰

QAS + ACS = 180⁰

QAS + 123⁰ = 180⁰

QAS = 180⁰-123⁰

QAS = 57⁰

QAS + X + PAB = 180⁰(linear pair)

57⁰ + X + 40⁰ = 180⁰

X + 97⁰ = 180⁰

X = 180⁰-97⁰

X = 83⁰

ACS + ACB = 180⁰(linear pair)

123⁰ + ACB = 180⁰

ACB = 180⁰-123⁰

ACB = 57⁰

ACB + X + Y = 180⁰

57⁰ + 83⁰ + Y = 180⁰

140⁰ + Y = 180⁰

Y = 180⁰-140⁰

Y = 40⁰

follow me on brainly

good night...