Question

what is the value of p? p - 2° p p + 45° p = °

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $p + 45=(p)+(p - 2)$.

Step2: Simplify the equation

$p+45=p + p-2$.
Combining like terms gives $p+45 = 2p-2$.

Step3: Solve for $p$

Subtract $p$ from both sides: $45=p - 2$.
Then add 2 to both sides: $p=47$.

Answer:

$47$