BD is the bisector of triangle ABC. Find angle C, if angle A = 44 degrees, angle ADB = 106 degrees.
| May 6, 2021 | education
In triangle ABD we define the value of angle ABD. Angle ABD = 180 – BAC – ADB = 180 – 44 – 106 = 30.
Since the segment BD is the bisector of the angle ABC, the angle ABC = 2 * ABD = 2 * 30 = 60.
In the triangle ABC, we determine the value of the angle ACB.
Angle ACB = 180 – ABC – BAC = 180 – 60 – 44 = 76.
Answer: Angle ACB is 76.
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