The third angle in an isosceles triangle is 10 more than 3 times as large as each of the two base angles. Find the measure of each angle.
The base angles are ??? degrees where the third angle is ??? degrees.

Please show a step by step explanation on how to do this

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

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.