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Q. 50

If the vertical a

Class 9th RS Aggarwal & V Aggarwal - Mathematics 4. Angles, Lines and Triangles

Answer :

Let x and y be the bisected angles.

So in the original triangle, sum of angles is

130 + 2x + 2y = 180

2(x + y) = 50

x + y= 25

In the smaller triangle consisting of the original side opposite 130 and the 2 bisectors,

x + y + Base Angle = 180

25 + Base Angle = 180

Base Angle = 155^o

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