In the triangle above, a = 34 . What is the value of b + c ?

Answer

146

Explanation

According to the triangle sum theorem, the sum of the measures of the three angles of a triangle is `180^@`. This triangle is made up of angles with measures of `a^@, b^@`, and `c^@`. Therefore, a + b + c = 180. Substituting 34 for a yields 34 + b + c = 180. Subtracting 34 from each side of the equation yields b + c = 146.