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In triangle ABC, AB=AC and D is a point on line AC so that line BD bisects angle ABC. If AD=DC, what is the measure, in degrees, of angle A?

 Dec 28, 2021
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For BD to bisect angle(B) and also to bisect the side AC, triangle(ABC) must be an isosceles triangle with

AB = BC.

Since AB = AC, all three sides, AB, BC, and AC are equal in length.

This means that triangle(ABC) is an equilateral triangle, so each of its angles must equal 60o.

 Dec 28, 2021

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