Question

what is the value of p? p - 45° p + 40° p + 50° p =

Explanation:

Step1: Use angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \((p - 45)+(p + 40)=p + 50\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(p-45 + p+40=2p-5\). So the equation becomes \(2p-5=p + 50\).

Step3: Solve for \(p\)

Subtract \(p\) from both sides: \(2p-p-5=p - p+50\), which gives \(p-5 = 50\). Then add 5 to both sides: \(p=50 + 5\).

Answer:

\(p = 55\)