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Question
a student is trying to construct triangles using four different sets of angles. which set will form a triangle? 50, 50, 50 60, 80, 90 100, 45, 45 45, 65, 70 clear my selection
Step1: Sum of angles in a triangle
The sum of the interior angles of a triangle is \(180^{\circ}\).
Step2: Check each set
- For \(50,50,50\): \(50 + 50+50=150
eq180\)
- For \(60,80,90\): \(60 + 80+90 = 230
eq180\)
- For \(100,45,45\): \(100+45 + 45=190
eq180\)
- For \(45,65,70\): \(45+65 + 70=180\)
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\(45,65,70\)