Question

what is the value of p? p =

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(p + 36^{\circ}=(p - 20^{\circ})+p\).

Step2: Simplify the equation

Expand the right - hand side: \(p + 36^{\circ}=p - 20^{\circ}+p\). Combine like terms: \(p + 36^{\circ}=2p-20^{\circ}\).

Step3: Solve for \(p\)

Subtract \(p\) from both sides: \(36^{\circ}=2p - p-20^{\circ}\). Then \(36^{\circ}+20^{\circ}=p\).

Answer:

\(56\)