Question

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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 =

Explanation:

Step1: Recall the sum of interior angles of a triangle

The sum of the interior angles of any triangle is a well - known geometric property.
For a triangle, the formula for the sum of interior angles is \(S=(n - 2)\times180^{\circ}\), where \(n = 3\) (since a triangle has 3 sides).
Substituting \(n = 3\) into the formula: \(S=(3 - 2)\times180^{\circ}=180^{\circ}\)

Answer:

\(180\)