In isosceles triangle ABC with base AC, bisectors CD and AF are drawn.
| March 9, 2021 | education
In isosceles triangle ABC with base AC, bisectors CD and AF are drawn. Determine the magnitude of the AOC angle if the angle at the base is 70 degrees.
Since AF and CD are bisectors by the angle BAC and BCA, then the angle FAC = DCA = 70/2 = 35.
The sum of the interior angles of the triangle is 180, then in the AOC triangle, the AOC angle = (180 – 35 – 35) = 110.
Answer: The AOC angle is 110.
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