Q27 of 158 Page 159

If one of the angles of a triangle is 110°, then the angle between the bisectors of the other two angles is

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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