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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