Find the angles of an isosceles triangle if the base angle is 48 g less than the apex angle.
December 30, 2020
From the condition it is known that the given triangle is isosceles and it is known that the angle at the base is 48 ° less than the angle at the apex. To calculate the degree measure of the angles of a triangle, we will compose and solve an equation.
We apply the theorem on the sum of the angles of a triangle to compose the equation. The angles of a triangle add up to 180 °.
Let’s denote by x the angle at the vertex, and then we will write the angles at the base as (x – 48) °.
We get the equation:
x + 2 (x – 48) = 180;
x + 2x – 96 = 180;
3x = 180 + 96;
3x = 276;
x = 92 ° apex angle and 92 – 48 = 44 ° base angles.
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