Question

what is the value of b? b-26° b-3° b+30° b = \boxed{ }°

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, we have the equation: $b + 30=(b - 26)+(b - 3)$

Step2: Simplify the right - hand side

First, simplify the right - hand side of the equation: $(b - 26)+(b - 3)=b - 26 + b-3=2b-29$
So our equation becomes $b + 30=2b-29$

Step3: Solve for b

Subtract b from both sides: $b + 30-b=2b-29 - b$
We get $30=b - 29$
Then add 29 to both sides: $30 + 29=b-29 + 29$
So $b = 59$

Answer:

$59$