Question

Triangle ABC IS an isosceles triangle AB=BC m

Answer 1

The measure of angle A is 73°

Explanation:

Isosceles Triangles

An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.

The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.

The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:

`2*m\angle A=180^\circ - 34^\circ =146^\circ`

Thus:

`m\angle A=146^\circ /2=73^\circ`

The measure of angle A is 73°