Question

In given figure AB||CD Prove That p+q-r=180°
.. fast​

Answer 1

Answer:

Step-by-step explanation:

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°

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