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9. find the measure of \\( \\angle 3 \\). \\( 30 ^ { \\circ } \\) \\( 9…

Question

  1. find the measure of \\( \angle 3 \\). \\( 30 ^ { \circ } \\) \\( 90 ^ { \circ } \\) \\( 60 ^ { \circ } \\) \\( 120 ^ { \circ } \\)

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of angles in a triangle is \(180^{\circ}\). In the right - angled triangle (where one angle is \(90^{\circ}\) (the right angle) and assume the other non - \(\angle3\) angle is \(30^{\circ}\) (since the sum of angles in a triangle is \(180^{\circ}\) and if we consider a common triangle - related problem setup where the angles are \(30 - 60-90\)).

Step2: Calculate \(\angle3\)

Using the formula \(\angle3=180^{\circ}-90^{\circ}- 30^{\circ}\).

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Answer:

\(60^{\circ}\)