Question

what is the value of p? p - 8° p - 13° p + 49° p = °

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, $(p - 8)+(p - 13)=p + 49$.

Step2: Simplify the left - hand side

Combine like terms: $p-8 + p-13=2p-21$. So, the equation becomes $2p-21=p + 49$.

Step3: Solve for $p$

Subtract $p$ from both sides: $2p - p-21=p - p + 49$, which gives $p-21 = 49$. Then add 21 to both sides: $p-21+21=49 + 21$.

Answer:

$p = 70$