Question

what is the value of b? b = °

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $b + 40^{\circ}=b+(b - 33^{\circ})$.

Step2: Simplify the equation

$b + 40^{\circ}=b + b-33^{\circ}$.
$b + 40^{\circ}=2b-33^{\circ}$.

Step3: Solve for $b$

Add $33^{\circ}$ to both sides: $b+40^{\circ}+33^{\circ}=2b-33^{\circ}+33^{\circ}$, which gives $b + 73^{\circ}=2b$.
Subtract $b$ from both sides: $b - b+73^{\circ}=2b - b$.

Answer:

$73$