# Find the angles of an isosceles triangle if the base angle is 48 g less than the apex angle.

December 30, 2020 | education

| 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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