Multiple Choice
Which of the following combinations of measurements could form a triangle according to the ?
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7. Non-Right Triangles
Law of Sines
Multiple Choice
Which of the following lists of angle measures could be the angle measures of a triangle?
A
, ,
B
, ,
C
, ,
D
, ,
Verified step by step guidance1
Recall the fundamental property of triangles: the sum of the interior angles must be exactly \(180^\circ\).
For each given list of angles, add the three angle measures together to check if their sum equals \(180^\circ\).
Check the first list: \(90^\circ + 45^\circ + 60^\circ = 195^\circ\), which is greater than \(180^\circ\), so this cannot be the angles of a triangle.
Check the second list: \(60^\circ + 60^\circ + 60^\circ = 180^\circ\), which satisfies the triangle angle sum property, so this could be the angles of a triangle.
Check the third list: \(100^\circ + 40^\circ + 50^\circ = 190^\circ\), which is greater than \(180^\circ\), so this cannot be the angles of a triangle.
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