Question

what is m∠1?

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 \(m\angle1\)

Given the two non - adjacent interior angles \(54^{\circ}\) and \(87^{\circ}\), then \(m\angle1=54 + 87\).

$$m\angle1=141^{\circ}$$

Answer:

\(141\)