solve for b.\nb = ?°

solve for b.\nb = ?°

solve for b.\nb = ?°

Answer

Explanation:

Step1: Use exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the triangle have angles such that the exterior angle of $65.5^{\circ}$ is related to the interior angles. One non - adjacent interior angle is $21.5^{\circ}$ and the other is $b$. So, $65.5^{\circ}=21.5^{\circ}+b$.

Step2: Solve for $b$

Subtract $21.5^{\circ}$ from both sides of the equation: $b = 65.5^{\circ}-21.5^{\circ}$. $b = 44^{\circ}$

Answer:

$44$