Question

what is the value of p? p - 30° p + 40° p p =

Explanation:

Step1: Apply exterior - angle property of a triangle

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $p + 40^{\circ}=(p - 30^{\circ})+p$.

Step2: Simplify the equation

Expand the right - hand side: $p + 40^{\circ}=p - 30^{\circ}+p$. Combine like terms: $p + 40^{\circ}=2p-30^{\circ}$.

Step3: Solve for $p$

Add $30^{\circ}$ to both sides of the equation: $p+40^{\circ}+30^{\circ}=2p-30^{\circ}+30^{\circ}$, which gives $p + 70^{\circ}=2p$. Subtract $p$ from both sides: $p - p+70^{\circ}=2p - p$.

Answer:

$70$