Question

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which equation shows the relationship between the angles in the triangle?
$m\angle 1+m\angle 2+m\angle 3 = 360^{circ}$
$m\angle 1+m\angle 2 = 360^{circ}+m\angle 3$
$m\angle 1+m\angle 2+m\angle 3 = 180^{circ}$
$m\angle 1+m\angle 2 = 180^{circ}+m\angle 3$

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). In the given triangle, \(\angle1\), \(\angle2\), and \(\angle3\) are the interior angles.

Answer:

\(m\angle1 + m\angle2 + m\angle3=180^{\circ}\)