Determine the angles of an isosceles triangle KEM if the outer angle of the angle K at the base of KM is 169 °.
| September 26, 2021 | education
1. From the condition of the problem, the outer angle at the base is known. Let’s determine how many degrees the internal is.
180 – 169 = 11 °.
2. Let’s calculate what the degree measure of the angle of the triangle at its apex is equal to.
180 – 11 * 2 = 180 – 22 = 158 °.
Answer: The angles of an isosceles triangle are 158 °, 11 ° and 11 °.
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