Question

what is $m\angle1$?
$m\angle1=\square^{circ}$

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. Let the exterior angle be \(78^{\circ}\), and the two non - adjacent interior angles be \(\angle1\) and \(36^{\circ}\). So, \(78^{\circ}=\angle1 + 36^{\circ}\).

Step2: Solve for \(\angle1\)

Subtract \(36^{\circ}\) from both sides of the equation \(78^{\circ}=\angle1 + 36^{\circ}\). We get \(\angle1=78^{\circ}-36^{\circ}\).

$$
LATEXBLOCK0
$$

Answer:

\(42\)