MATH SOLVE

3 months ago

Q:
# Study the triangle. What can you conclude about the angle measures? The angle measures are 30°, 60°, and 90°. The angle measures are 45°, 45°, and 90°. The triangle has a 90° angle, but the other angle measures cannot be determined.

Accepted Solution

A:

Answer:In the given triangles all the triangles have one angle equals to 90° so, all three triangles are right angled triangle.Step-by-step explanation:If a triangle has one angle equals to 90° then that triangle is called right angled triangle.In the given triangles all the triangles have one angle equals to 90° so, all three triangles are right angled triangle.1) The angle measures are 30°, 60°, and 90°.One angle is 90° and is right so the triangle is right angled triangle, the other two angles are 30° and 60°. The sum of all angles is equal to 180°2) The angle measures are 45°, 45°, and 90°This is an isosceles right angled triangle because one angle is 90° and other two angles are same i.e 45°3) The triangle has a 90° angle, but the other angle measures cannot be determined.If one angle is 90° then the other two angles will be less than 90°(acute angles) and the sum of all three angles would be equal to 180°