In a triangular park ABC in Pune the gardener notes that two paths AB and AC are of equal length, and the angle at corner B is 48°. A fence runs along the bisector of the angle at A meeting side BC at point M. What is the measure of angle AMB, in degrees?

Question

Accepted Answer

90. Since AB = AC, the bisector of angle A is also the altitude to BC, so it is perpendicular to BC. Hence angle AMB = 90°.

In a triangular park ABC in Pune the gardener notes that two paths AB and AC are of equal length, and the angle at corner B is 48°.
A fence runs along the bisector of the angle at A meeting side BC at point M.
What is the measure of angle AMB, in degrees?

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More Class 9 Properties of Isosceles Triangles practice

In a triangular park ABC in Pune the gardener notes that two paths AB and AC are of equal length, and the angle at corner B is 48°.A fence runs along the bisector of the angle at A meeting side BC at point M.What is the measure of angle AMB, in degrees?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Properties of Isosceles Triangles practice

In a triangular park ABC in Pune the gardener notes that two paths AB and AC are of equal length, and the angle at corner B is 48°.
A fence runs along the bisector of the angle at A meeting side BC at point M.
What is the measure of angle AMB, in degrees?