Question

question 32 of 45
what is the maximum number of obtuse angles a triangle can have?
a. 0
b. 1
c. 3
d. 2

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$.

Step2: Define an obtuse angle

An obtuse angle is an angle whose measure is greater than $90^{\circ}$ and less than $180^{\circ}$.

Step3: Analyze the number of obtuse angles

If a triangle had 2 or 3 obtuse angles, the sum of those angles alone would be greater than $180^{\circ}$ (since each obtuse angle is $> 90^{\circ}$). So a triangle can have at most 1 obtuse angle.

Answer:

B. 1