Question

what is the value of b? write your answer as an integer or as a decimal rounded to the nearest tenth. b =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $11b - 26=5b + 40$.

Step2: Solve the equation for b

First, subtract $5b$ from both sides: $11b-5b - 26=5b-5b + 40$, which simplifies to $6b-26 = 40$.

Step3: Isolate the term with b

Add 26 to both sides: $6b-26 + 26=40 + 26$, getting $6b=66$.

Step4: Find the value of b

Divide both sides by 6: $b=\frac{66}{6}=11$.

Answer:

$11$