If one of the angles of a triangle is 110°, then the angle between th

1.	If one of the angles of a triangle is 110°, then the angle between the bisectors of the other two angles is(a) 70° (b) 110° (c) 35° (d) 145°
Answer» (d) 145^o From the question it is given that, one of the angles of triangle is 110^o We know that, sum of all angles of triangle is equal to 180^o. So, sum of other 2 angles is 180^o – 110^o = 70^o Then, both angled get halved 70^o/2 = 35^o Sum of bisected angles will be half of sum of angle of triangle. Then, the third angle will be = 180^o – 35^o = 145^o

If one of the angles of a triangle is 110°, then the angle between the bisectors of the other two angles is(a) 70° (b) 110° (c) 35° (d) 145°

Answer»

(d) 145^o

From the question it is given that, one of the angles of triangle is 110^o

We know that, sum of all angles of triangle is equal to 180^o.

So, sum of other 2 angles is 180^o – 110^o = 70^o

Then, both angled get halved 70^o/2 = 35^o

Sum of bisected angles will be half of sum of angle of triangle.

Then, the third angle will be = 180^o – 35^o

= 145^o