Question

In the given figure, AB llCD and EF ll GH . find the values of x,y,z and t.​

Answer 1

SOLUTION:-

AB || CD and EF || GH

•°• PQ || RS

•°• x = 60° ..........{vertically opposite angle}

now,

EF || GH

•°• PR || QS

∠PRQ = ∠SQR ......{Alternate angle}

x = y

•°• y = 60°

now,

∠APR = ∠PQS .......{corresponding angle}

∠PQS = 110°

∠PQS + ∠BQS = 180° ....{ straight line}

110° + z = 180°

z = 180 - 110

z = 70°

now,

∠BQS = ∠RSQ ......{corresponding angle}

z = t

t = 70°

The values of x, y, z and t is 60°, 60°, 70° and 70°