Angle A equals 90°.
Angle B equals 115°.
Angle C equals 35°.
Can these angles form a triangle?
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Angle A equals 90°.
Angle B equals 115°.
Angle C equals 35°.
Can these angles form 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.
Look at the angles shown in the figure below.
What is their relationship?
\( \)
This is a fundamental property of triangles in plane geometry. No matter what type of triangle - scalene, isosceles, or equilateral - the interior angles will always sum to exactly .
Check your arithmetic carefully! Triangle angles must equal exactly . If you get 179° or 181°, either you made a calculation error or the angles truly cannot form a triangle.
Yes! Obtuse triangles have one angle greater than 90°. However, the sum of all three angles must still equal 180°, so the other two angles must be smaller to compensate.
The largest angle in a triangle must be less than 180°. In practice, it's usually much smaller since the other two angles must be positive and all three must sum to 180°.
Think: "Triangle = 180". You can also remember that a straight line is 180°, and triangle angles "unfold" to form a straight line when placed side by side.
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