Question

In the given figure, AB || CD. Prove that p+q-r = 180.
A
E
B
pº
9
F
с
G
D​

Answer 1

Answer:

Step-by-step explanation:

Draw a line 'l' parallel to AB and CD through F.

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°

Answer 2

Answer:

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