In the given figure , AB||CD. Prove that p+q-r=180.
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Answer:
Heyya Mate!! So here is your answer...
Step-by-step explanation:
Draw a line parallel to AB and CD passing through F. (Chk the image attached below)
From the figure,
p° + x° =180° .......(1)
(Sum of interior angles same side of the transversal are supplementary)
r° = y° ........(2)
(alternate angles)
Therefore,
x° + y° = q°
=> x° = q° - y°
=> x° = q° - r° .......(3) [From (2)]
Now, put (3) in equation (1), we get
p° + q° - r° = 180°
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STEP BY STEP EXPLANATION : Your correct answer is in the attachment
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