This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Analyze triangle a). The angles given are , , and . Since one angle is exactly , this is a right-angled triangle.
Step 2: Analyze triangle b). The angles given are , , and . Since one angle () is greater than , this is an obtuse-angled triangle.
Step 3: Analyze triangle c). The angles given are , , and . Since all angles are less than , this is an acute-angled triangle.
a) The triangle is a right-angled triangle. b) The triangle is an obtuse-angled triangle. c) The triangle is an acute-angled triangle.
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Analyze triangle a). The angles given are 90^, 60^, and 30^.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.