Question

the diagram shows a triangle. 33° 42° p+28° what is the value of p? p = □°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(33^\circ + 42^\circ + (p + 28^\circ) = 180^\circ\).

Step2: Simplify the left - hand side

First, add the known angles: \(33 + 42+28 = 103\). So the equation becomes \(p + 103^\circ=180^\circ\).

Step3: Solve for \(p\)

Subtract \(103^\circ\) from both sides: \(p=180 - 103\).

Answer:

\(77\)