The bisector AD is drawn in an isosceles triangle ABC with base AC. find the ADC angle if the angle С = 50 *.
| June 11, 2021 | education
Since the triangle ABC is isosceles, the angle BAC = BCA = 50.
By condition, AD is the bisector of the angle BAC, then the angle BAD = CAD = BAC / 2 = 50/2 = 25.
In a triangle, the sum of the interior angles is 180, then the angle ADC = (180 – CAD – ACD) = (180 – 25 – 50) = 105.
Answer: The value of the ADC angle is 105.
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