# In an isosceles triangle ABC with the base of the AC, the bisector AD is drawn, find the angle ADC

March 25, 2021 | education

| **In an isosceles triangle ABC with the base of the AC, the bisector AD is drawn, find the angle ADC if the angle C is 50 degrees.**

Since ABC is an isosceles triangle, angle A is equal to angle C (in an isosceles triangle, the angles at the base are equal), angle A = 50 °.

Since AD is a bisector, the DAC angle is 50 °: 2 = 25 °.

The angles in a triangle add up to 180 °. In triangle ADC: angle ADC = 180 ° – (50 ° + 25 °) = 105 °.

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