Angle A equals 56°.
Angle B equals 89°.
Angle C equals 17°.
Can these angles make a triangle?
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Angle A equals 56°.
Angle B equals 89°.
Angle C equals 17°.
Can these angles make a triangle?
We add the three angles to see if they are equal to 180 degrees:
The sum of the given angles is not equal to 180, so they cannot form a triangle.
No.
Indicates which angle is greater
This is a fundamental property of triangles in flat geometry! No matter what type of triangle - big, small, acute, or obtuse - the three interior angles will always sum to exactly 180°.
Then those angles cannot form a triangle! In our example, 56° + 89° + 17° = 162°, which is less than 180°, so these angles also can't make a triangle.
No! All angles in a triangle must be positive and less than 180°. Negative angles don't exist in basic triangle geometry.
The smallest angle approaches 0° (but never reaches it), and the largest angle approaches 180° (but never reaches it). Most triangles have angles between these extremes.
Double-check your arithmetic! For 56° + 89° + 17°:
Yes! If you notice that two angles already add up to more than 180°, you don't need to add the third. For example, if two angles are 95° and 90°, that's already 185° > 180°!
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