Question

what is m∠1? what is the value of p?

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.

Step2: Calculate \(m\angle1\)

Here, \(m\angle1\) is an exterior angle of the triangle. The two non - adjacent interior angles are \(74^{\circ}\) and \(35^{\circ}\). So, \(m\angle1=74^{\circ}+35^{\circ}\)

$$m\angle1 = 109^{\circ}$$

Answer:

\(109\)