Question

The bisectors of the base angles of an isosceles triangle ABC, with AB=AC, meet at O. If ∠B = ∠C = 50°. What is the measure of angle O? also give the diagram

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Answer 1

Answer:

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Answer 2

Given:

In triangle ABC,

AB=AC meet at O

∠B = ∠C = 50°

measure of angle O=?

According to the question we make the diagram, and diagram are in the attachment

In ΔABC

∠OBC = ∠ OCB =25    (here OB and OC are bisectors)

By angle sum property in triangle OBC, we get

∠O + ∠ B + ∠ C = 180°

∠O + 25° + 25° =180

∠O  + 50° = 180°

∠O = 180° - 50°

∠O = 130°

Hence  measure of angle O is ∠O = 130°