Given an isosceles triangle, the apex angle is 40 degrees. What is the angle at the base?
| April 11, 2021 | education
As you know, the sum of the values of all the angles of a triangle is 180 degrees.
Since the angle at the apex of the triangle is 40 degrees, the sum of the angles at the base is 180 – 40 = 140 degrees.
By the condition of the problem, the triangle is isosceles, therefore the angles at the base are equal.
Thus, the angle at the base of this triangle is 140: 2 = 70 degrees.
The seventh part of the angle at the base will be: 70: 7 = 10 degrees.
Answer: 10 degrees.
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