Q. 275.0( 3 Votes )

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 :

As by the angle sum property

Sum of all angles is 180°

if one angle of triangle is 110°

Then sum of other 2 angles is 180° -110° = 70°

If the bisector of both angles are made…

Then both angled get halved

If both angled get halved then their sum will also get halved

= 35°

it forms a new triangle if the bisectors are joined

Though sum of bisected angles will be half of sum of angle of triangle

the 3rd angle will be

180° - 35°

= 145°

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