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In Fig. 6.24, if P Q||R S ,/M X Q=135^@\...

In Fig. 6.24, if `P Q||R S ,/_M X Q=135^@\ a n d /_M Y R=40^@, ```find `/_X M Y`.

Text Solution

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Draw a line AB parallel to PQ, so AB∥PQ and PQ∥RS, so AB∥RS.
It is known that the sum of two interior angles on the same side is `180 ^ ∘` , therefore,
`∠QXM+∠XMB=180 ^ ∘` ...
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