5. In the given figure, BC | AD. Find the measure of Zx, Zy and Zz. B С z X y A y D 120°
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Answer:
Given,
|D||BC
so, 120 degrees = x (Corresponding angles)
x = 120 degrees
y + 120 degrees = 180 degrees (Supplementary angles)
y = 60 degrees
Sum of interior angles of a quadrilateral is 360 degrees
dot * * y - y + z = 360 degrees
x + 2y + z = 360 degrees
120 + (60 * 2) + z = 360 degrees
240 + z = 360 degrees
z = 120 degrees
This is the solution to the question if the figure is the same one as given below:
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