# The bisectors of the outer corners A and C of triangle ABC meet at point H at an angle of 56. Find the angle B of the triangle.

July 25, 2021 | education

| Consider the triangle CAH and find, The sum of the two angles, A and C:

180 ° – 56 ° = 124 °.

Since AH and CH are the bisectors of the outer angles of the triangle ABC, we multiply the result by 2 and we will know the sum of the outer angles A and C:

124 ° * 2 = 248 °.

Find the sum of the interior angles A and C of this triangle:

360 ° – 248 ° = 112 °.

We find the degree measure of the angle B:

180 ° – 112 ° = 68 °.

Answer: in triangle ABC, angle B is 68 °.

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