Question

question 2 of 10
what is the greatest number of acute angles that a triangle can contain?

a. 1

b. 3

c. 2

d. 0

Explanation:

Step1: Recall triangle angle sum

A triangle's interior angles sum to \(180^\circ\).

Step2: Define acute angle

An acute angle is less than \(90^\circ\).

Step3: Analyze maximum acute angles

If we have three angles, each less than \(90^\circ\), their sum can still be \(180^\circ\) (e.g., three \(60^\circ\) angles in an equilateral triangle). A triangle can't have more than three angles. If we tried four, it wouldn't be a triangle. Also, a triangle can have 1 or 2 acute angles (e.g., right triangle has 2 acute, obtuse triangle has 1), but the maximum is 3.

Answer:

B. 3