Question

in the given figure PQ is parallel to RS find the value of x and y

Answer 1

angle A=180°-120°=60°
so, angle C=x°=180°-(35°+60°)
or, x°=85°
as RS and PQ is parallel x°=angle CDB
so, angle CDB=85°
thus, γ°=180°-85°
=95°

Answer 2

Find Angle A:

Sum of adjacent angles on a straight line is 180º

∠A = 180 - 120 = 60º

Find Angle x:

Sum of angles in a triangle is 180º

∠x = 180 - 35 - 60 = 85º

Find Angle D (∠CDB):

Corresponding angles on parallel lines are equal

∠D = x = 85º

Find Angle y:

Sum of adjacent angles on a straight line is 180º

∠y = 180 - 85  = 95º

Answer: x = 85º and y = 95º