Question

what is the value of b? b = °

Explanation:

Step1: Identify isosceles - triangle

Since two sides of the triangle are equal (marked with red dashes), $\triangle VUW$ is an isosceles triangle. In an isosceles triangle, the base - angles are equal.

Step2: Use angle - sum property

The sum of the interior angles of a triangle is $180^{\circ}$. Let the angle at $V = 39^{\circ}$, and the other two equal angles be $b$. So, $39^{\circ}+b + b=180^{\circ}$.

Step3: Solve the equation

Combine like - terms: $39^{\circ}+2b = 180^{\circ}$. Subtract $39^{\circ}$ from both sides: $2b=180^{\circ}-39^{\circ}=141^{\circ}$. Then divide both sides by 2: $b=\frac{141^{\circ}}{2}=70.5^{\circ}$.

Answer:

$70.5$