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Question

In the given figure, AB || CD. Find the value of x,y and z.

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Solution

ANSWER:
∠ADC=∠DAB (Alternate Interior Angles)

⇒z=75°

∠ABC=∠BCD (Alternate Interior Angles)

⇒x=35°

We know that the sum of the angles of a triangle is 180°.
⇒35°+y+75°=180°

⇒y=70°

x=35°, y=70° and z=75°.


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