Question

Which set of angles can form a triangle

Answer 1

Answer:

  2 acute and 1 right

Step-by-step explanation:

The sum of angles of a triangle is always 180°.

Right angles are 90°, and obtuse angles are more than 90°. If each of the angles in the triangle is more than 0°, there obviously cannot be two angles that measure 90° or more. Just the sum of those two would be 180° or more, and that sum doesn't include the third angle.

So, any triangle can have at most one angle that is 90° or more (right or obtuse). The remaining two angles must be acute for the sum of angles to be 180°.

  2 acute and 1 right angle can form a triangle