Question

in the given figure BC parallel to AD find the measures of angle X Angle Y and angle Z

Answer 1

Given,
AD || BC,
so, 120°=x (Corresponding angles)
x=120°.

y+120°=180° (Supplementary angles)
y=60°

Sum of interior angles of a quadrilateral is 360°

therefore,
x+y+y+z=360°
x+2y+z=360°
120+(60×2)+z=360°
240+z=360°
z=120°

Answer 2

Answer:

Given,

AD || BC,

so, 120°=x (Corresponding angles)

x=120°.

y+120°=180° (Supplementary angles)

y=60°

Sum of interior angles of a quadrilateral is 360°

∴ x+y+y+z=360°

x+2y+z=360°

120+(60×2)+z=360°

240+z=360°

z=120°

This is the solution to the question if the figure is the same one as given below: