The external angle at the apex of an isosceles triangle is 48 degrees. find the value of the angle at its base.
| September 28, 2021 | education
Angles ABC and CBD are adjacent, the sum of which is 180, then the angle ABC = (180 – CBD) = 180 – 48 = 132.
In an isosceles triangle, the angles at the base are equal.
Then the angle BAC = CBD = (180 – ABC) / 2 = (180 – 132) / 2 = 48/2 = 24.
Answer: The angle at the base is 24.
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