In the triangle abc, the outer angle at the vertex c is 116 degrees ab is equal to bc find the degree measure of the angle b.
| February 23, 2021 | education
The angle ACB is adjacent to the angle BCD, the sum of which is 180, then the angle ACB = (180 – BCD) = (180 – 116) = 64.
Since, by condition, AB = BC, the triangle ABC is isosceles, and then the angle BAC = ACB = 64.
The sum of the interior angles of the triangle is 180, then the angle ACB = (180 – 64 – 64) = 52.
Answer: The angle ABC is 52.
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