Question

what is the value of b? b + 50° b b - 10° 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, $b + 50^{\circ}=b+(b - 10^{\circ})$.

Step2: Simplify the equation

$b + 50^{\circ}=b + b-10^{\circ}$.

Step3: Solve for $b$

First, combine like terms: $b + 50^{\circ}=2b-10^{\circ}$.
Add $10^{\circ}$ to both sides: $b+50^{\circ}+10^{\circ}=2b-10^{\circ}+10^{\circ}$, which gives $b + 60^{\circ}=2b$.
Subtract $b$ from both sides: $b - b+60^{\circ}=2b - b$.

Answer:

$60$