Question

the diagram shows a triangle. what is the value of p? p =

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(72^{\circ}+74^{\circ}+17p = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add \(72\) and \(74\): \(72 + 74=146\). The equation becomes \(146+17p = 180\).

Step3: Solve for \(17p\)

Subtract \(146\) from both sides of the equation: \(17p=180 - 146\). So, \(17p = 34\).

Step4: Solve for \(p\)

Divide both sides by \(17\): \(p=\frac{34}{17}\).

Answer:

\(2\)