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Question -

In the given figure, p || q. Find the unknown angles.



Answer -

тИаe + 125┬░ = 180┬░ (Linear pair)
┬а
тИ┤ тИаe = 180┬░ тАУ 125┬░ = 55┬░
тИаe = тИаf (Vertically opposite angles)
тИ┤ тИаf= 55┬░
тИаa = тИаf= 55┬░ (Alternate interior angles)
тИаc = тИаa = 55┬░ (Vertically opposite angles)
тИаd = 125┬░ (Corresponding angles)
тИаb = тИаd = 125┬░ (Vertically opposite angles)
Thus, тИаa = 55┬░, тИаb = 125┬░, тИаc = 55┬░, тИаd = 125┬░, тИаe = 55┬░, тИаf= 55┬░.

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