Question

the figure shows a triangle with unknown angles. which equation shows the relationship between the angles in the triangle? m∠1 + m∠2 = 180°+ m∠3 m∠1 + m∠2 + m∠3 = 180° m∠1 + m∠2 + m∠3 = 360° m∠1 + m∠2 = 360°+ m∠3

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is always 180 degrees. In the given triangle, the interior angles are ∠1, ∠2, and ∠3.

Step2: Write the equation

The equation representing the sum of these interior angles is \(m\angle1 + m\angle2 + m\angle3=180^{\circ}\).

Answer:

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