In triangle ABC, angle C is 61 degrees, AC is the bisector of angle A, angle BAD is 40 degrees.
| August 11, 2021 | education
In triangle ABC, angle C is 61 degrees, AC is the bisector of angle A, angle BAD is 40 degrees. Find the degree measure of the angle BAD.
Since AD is the bisector of angle A, the angle CAD = BAD = 40.
Then, in the ACD triangle, the angle ADC = (180 – 40 – 61) = 79.
The angles ADC and BDA are adjacent angles, the sum of which is 180, then the angle BDA = (180 – 79) = 101.
Answer: The value of the BDA angle is 101.
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