# Find the angles of an isosceles triangle if you know that the angle at the base is 1/6 of the angle between the sides.

July 29, 2021 | education

| 1. Let’s denote the degree measure of the angle at the base through x.

2. Determine the degree measure of the angle between the lateral sides:

6 * x = 6x.

3. Since the sum of the angles of the triangle is 180˚, compose and solve the equation:

6x + x + x = 180˚;

8x = 180˚;

x = 180˚: 8;

x = 22.5˚.

4. The degree measure of the angle at the base is x = 22.5˚.

5. What is the degree measure of the angle between the sides?

6 * x = 6 * 22.5˚ = 135˚.

Answer: the angles of an isosceles triangle are 22.5˚, 135˚, 22.5˚.

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