Question

Find x,y,z in the adjacent figure of AB||CD.

Answer 1

Answer:

Hello there,

x = z = 45 degree

y = 105 degree

Step-by-step explanation:

Angle DCB = 90 degree.

Angle ABC + Angle DCB = 180 degree ( Co - interior angles)

Angle ABC = 180 - Angle DCB

Angle ABC = 90 Degree

2x = 90

x = 45 degree

x = z ( Alternate Interior Angles )

z = 45 degree

x + y + 30 = 180 ( Angle Sum Property )

y = 180 - (45 + 30)

y = 105 degree

This is your answer.

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