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Complementary Angles
180 degrees
No shape does. If a shape has four angles, the sum of the four angles is 360°. If two are right angles, their sum is 2 x 90° = 180°, leaving 360° - 180° = 180° for the two remaining angles. An acute angle is less than 90°, so the sum of two acute angles is less than 90° + 90° = 180°, but in this shape their sum must be equal to 180°; thus no shape can exist. If one angle is acute and the other is obtuse, then their sum can be 180° and the shape is a trapezium.
There are fewer obtuse angles than the other two kinds. There are the same number of acute and right angles and so the sum of the measures of the acute angles will be less than 5 right angles. The sum of two obtuse angles will be less than 5 right angles but may be less than, equal to, or more than 5 acute angles.
the sum of any triangle is always 180 degrees...