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CBSE Class 9 Answered

In fig., l||m, show that 1 + 2 - 3 = 180o
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Given: l||m

To prove: 1 + 2 - 3 = 180o

Construction: Draw XC||AB and extend AB to Y.

Proof:

BCX = 180o - 1            (sum of int. s on same side of transversal is 180o)

XCD = 3                     (Alternate int. s)

Now, 2 = BCX + XCD

Or, 2 = (180o - 1) + 3

1 + 2 - 3 = 180o

Answered by | 04 Jun, 2014, 03:23: PM

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