L||M & T is a transversal. The angle bisectors of interior angles intersect at P&Q find the value of angle x and y
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This is ur answer hope it will help u
Explanation
∠BYA = ∠BAX (Alternate angles)
Hence BY||AX
Similarly, AY||BX (∠BYA = ∠BAX)
Therefore quadrilateral BYAX is a parallelogram as both the pairs of opposite sides are parallel.
From the figure, we have
⇒ 2(∠j+ ∠k) = 180°
∴ ∠j + ∠k = 90°
Explanation
∠BYA = ∠BAX (Alternate angles)
Hence BY||AX
Similarly, AY||BX (∠BYA = ∠BAX)
Therefore quadrilateral BYAX is a parallelogram as both the pairs of opposite sides are parallel.
From the figure, we have
⇒ 2(∠j+ ∠k) = 180°
∴ ∠j + ∠k = 90°
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shashwat1tomar:
I wanted to know that how did we get angle j as 90°
angle ayb= angle bax ( alternat angle
hence BY¶ AX
similarly AY¶ BX
so it form a rectangle
Thanks
np
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