Question

In the diagram AB is parallel to DC. Calculate the values of x and y

Answer 1

Answer:

By angle sum property

64 + 3x + y = 180

3x + y = 180 - 64

3x + y = 126

y = 126 - 3x ---(1)

By angles on the same side of a transversal

3x + 4x + 110 = 180

7x = 70

x = 10 ----(2)

substituting eq 2 in eq 1

y = 126 - 21

y = 105

x = 10 and y = 105

hope it helps