Question

what is the value of p? p+8° p+50° p+20° p=° submit

Explanation:

Step1: Apply 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, \(p + 50^{\circ}=(p + 20^{\circ})+(p + 8^{\circ})\).

Step2: Simplify the equation

Expand the right - hand side: \(p+50^{\circ}=p + 20^{\circ}+p + 8^{\circ}\). Combine like terms: \(p+50^{\circ}=2p+28^{\circ}\).

Step3: Solve for \(p\)

Subtract \(p\) from both sides: \(50^{\circ}=2p - p+28^{\circ}\). Then \(50^{\circ}=p + 28^{\circ}\). Subtract \(28^{\circ}\) from both sides: \(p=50^{\circ}-28^{\circ}\).

Answer:

\(22\)