Question

Henry draws a triangle. How many obtuse angles does Henry's triangle have?

A) 0
B) 1
C) 2
D) 3

Answer 1

A triangle can have at most 1 obtuse angle.

Step-by-step explanation:

A triangle can have at most 1 obtuse angle.

An obtuse angle is an angle greater than 90 degrees but less than 180 degrees.

1. If a triangle has 1 obtuse angle, then the other two angles must be acute (less than 90 degrees).
2. If a triangle has 2 obtuse angles, then the third angle must also be acute, resulting in the sum of the angles being greater than 180 degrees, which violates the definition of a triangle.
3. If a triangle has 3 obtuse angles, then the sum of the angles would be greater than 180 degrees, which is also not possible.

Therefore, the correct answer is B) 1 obtuse angle.