Question

question 4 of 10
what is the greatest number of acute angles that a triangle can contain?
a. 2
b. 3
c. 0
d. 1

Explanation:

Step1: Recall the definition of acute angle

An acute angle is an angle whose measure is less than \(90^{\circ}\).

Step2: Recall the sum of interior angles of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step3: Analyze the number of acute angles

If a triangle has three angles, and we want to maximize the number of acute angles. For example, an equilateral triangle has three angles each equal to \(60^{\circ}\) (which is acute as \(60^{\circ}<90^{\circ}\)).

Answer:

B. 3