Question

use the figure below to help.
first identify the types of angles in the figure.
the exterior angle is ∠4. the non - adjacent interior angles are ∠1 and ∠2.
what is the relationship between angles 3 and 4?
m∠3 + m∠4 = 180°
what is the relationship between the interior angles?
m∠1 + m∠2 + m∠3 =
(there is a figure of a triangle with angles labeled 1, 2, 3 and an exterior angle labeled 4, and a calculator - like interface at the bottom right.)

Explanation:

Step1: Recall Triangle Angle Sum

The sum of interior angles of a triangle is a fundamental geometric principle. For any triangle, the sum of its three interior angles is \(180^\circ\).

Step2: Apply to Given Triangle

In the given triangle, \(\angle1\), \(\angle2\), and \(\angle3\) are the interior angles. By the triangle angle - sum theorem, \(m\angle1 + m\angle2+m\angle3=180^\circ\).

Answer:

\(180\)