Answer: Each base angle is 34 degrees
The third angle is 112 degrees
Step-by-step explanation:
Let x represent the measure of each base angle of the isosceles triangle.
In an isosceles triangle, the base angles are equal.
The third angle in an isosceles triangle is 10 more than 3 times as large as each of the two base angles. This means that the measure of the third angle is
(3x + 10) degrees
The sum of the angles in a triangle is 180 degrees. Therefore
3x + 10 + x + x = 180
3x + x + x = 180 - 10
5x = 170
x = 170/5
x = 34
The measure of the third angle is
3x + 10 = 3 × 34 + 10
= 112
