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Question -

In the given figure, тИаPQR = тИаPRQ, then prove that тИаPQS = тИаPRT.



Answer -

In the given figure, ST isa straight line and ray QP stands on it.

тИ┤ тИаPQS + тИаPQR =180┬║ (Linear Pair)

тИаPQR = 180┬║ тИТ тИаPQS (1)

тИаPRT + тИаPRQ = 180┬║ (Linear Pair)

тИаPRQ = 180┬║ тИТ тИаPRT (2)

It isgiven that тИаPQR = тИаPRQ.

Equatingequations (1) and (2), we obtain

180┬║ тИТ тИаPQS = 180┬атИТ тИаPRT

тИаPQS = тИаPRT

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