Question

what is the value of p?
write your answer as an integer or as a decimal rounded to the nearest tenth.
submit
p =
3p - 36°
30°
p + 47°

Explanation:

Step1: Use 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, \(p + 47=(3p - 36)+30\).

Step2: Simplify the equation

Simplify the right - hand side: \((3p - 36)+30=3p-6\). The equation becomes \(p + 47=3p-6\).

Step3: Solve for \(p\)

Subtract \(p\) from both sides: \(47 = 2p-6\). Then add \(6\) to both sides: \(2p=47 + 6=53\). Divide both sides by \(2\): \(p=\frac{53}{2}=26.5\).

Answer:

\(26.5\)