Question

what is the value of b? b - 30° b - 36° b b = ° submit

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, $b=(b - 30^{\circ})+(b - 36^{\circ})$.

Step2: Simplify the equation

$b=b - 30^{\circ}+b - 36^{\circ}$. Combine like terms: $b = 2b-66^{\circ}$.

Step3: Solve for b

Subtract $b$ from both sides: $0=2b - b-66^{\circ}$. Then $b = 66^{\circ}$.

Answer:

$66$