Question

what is the value of p? p p + 34° p - 24° 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, $p + 34^{\circ}=p+(p - 24^{\circ})$.

Step2: Simplify the equation

$p + 34^{\circ}=p + p-24^{\circ}$.
$p + 34^{\circ}=2p-24^{\circ}$.

Step3: Solve for $p$

Add $24^{\circ}$ to both sides: $p+34^{\circ}+24^{\circ}=2p-24^{\circ}+24^{\circ}$, which gives $p + 58^{\circ}=2p$.
Subtract $p$ from both sides: $p - p+58^{\circ}=2p - p$.

Answer:

$p = 58^{\circ}$