Question

what is the value of b?
7b+10°
5b
b+28°
b = °
submit

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(7b + 10=(b + 28)+5b\).

Step2: Simplify the equation

Simplify the right - hand side: \((b + 28)+5b=6b + 28\). The equation becomes \(7b+10 = 6b + 28\).

Step3: Solve for \(b\)

Subtract \(6b\) from both sides: \(7b-6b+10=6b-6b + 28\), which gives \(b+10 = 28\). Then subtract \(10\) from both sides: \(b+10-10=28 - 10\).

Answer:

\(b = 18\)