Question

write your answer as an integer or as a decimal rounded to the near p =

Explanation:

Step1: Apply 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, $4p=(6p - 88)+31$.

Step2: Simplify the equation

First, expand the right - hand side: $4p=6p-88 + 31$. Combine like terms: $4p=6p - 57$.

Step3: Solve for $p$

Subtract $6p$ from both sides: $4p-6p=-57$. This gives $-2p=-57$. Then divide both sides by $-2$: $p=\frac{57}{2}=28.5$.

Answer:

$28.5$