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Question -

In тИЖABC, if тИаA = 100┬░, AD bisects тИаA and ADтКе BC. Then, тИаB =
(a) 50┬░
(b) 90┬░
(c) 40┬░
(d) 100┬░



Answer -

In тИЖABC, тИаA = 100┬░
AD is bisector of тИаA and AD тКе BC
┬а
Now, тИаBAD == 50┬░
In тИЖABD,
тИаBAD + тИаB + тИаD= 180┬░
(Sum of angles of a triangle)
тЗТ тИа50┬░ + тИаB + 90┬░ = 180┬░
тИаB + 140┬░ = 180┬░
тЗТ тИаB = 180┬░ тАУ 140┬░ тИаB = 40┬░ (c)

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