The measure of an angle formed by the bisectors of the angles A and C of the triangle ABC is 130°. What is the measure of the angle B?

Explanation

The angle formed by the bisectors of two angles in a triangle is given by 90^\circ + \frac{B}{2} = 130^\circ. Solving gives \frac{B}{2} = 40^\circ \implies B = 80^\circ.

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