In triangle PQR, PQ = PR. The bisector of angle Q and the bisector of angle R are drawn. Given that angle P = 40°, find the angle between the two bisectors where they meet inside the triangle (angle QOR, O being their intersection), in degrees.

Question

Accepted Answer

110. Base angles Q = R = 180 - 40/2 = 70°. Half-angles = 35° each. In triangle QOR, angle QOR = 180 - (35 + 35) = 110°.

In triangle PQR, PQ = PR. The bisector of angle Q and the bisector of angle R are drawn.
Given that angle P = 40°, find the angle between the two bisectors where they meet inside the triangle (angle QOR, O being their intersection), in degrees.

Step-by-Step Solution

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More Class 9 Properties of Isosceles Triangles practice

In triangle PQR, PQ = PR. The bisector of angle Q and the bisector of angle R are drawn.Given that angle P = 40°, find the angle between the two bisectors where they meet inside the triangle (angle QOR, O being their intersection), in degrees.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Properties of Isosceles Triangles practice

In triangle PQR, PQ = PR. The bisector of angle Q and the bisector of angle R are drawn.
Given that angle P = 40°, find the angle between the two bisectors where they meet inside the triangle (angle QOR, O being their intersection), in degrees.