Question

what is the value of b? b+3° b+13° b+49° b=°

Explanation:

Step1: Apply the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(b + 49=(b + 3)+(b + 13)\)

Step2: Simplify the right - hand side of the equation

Expand the right - hand side: \((b + 3)+(b + 13)=b + 3+b + 13=2b+16\)
The equation becomes \(b + 49=2b + 16\)

Step3: Solve for \(b\)

Subtract \(b\) from both sides: \(b+49 - b=2b + 16 - b\)
We get \(49=b + 16\)
Then subtract 16 from both sides: \(b=49 - 16\)

Answer:

\(33\)