Question

in progress
check for understanding: defining angles
not graded
directions
answer the question below to check your understanding and move forward in the course! this quiz is not graded.
which of the following sets of angles does not contain an obtuse angle?
select the correct answer
{100°,90°,30°}
{10°,92°,120°}
{89.1°,90°,89.8°}
{30°,41.8°,167°}

Explanation:

Step1: Recall obtuse - angle definition

An obtuse angle is an angle $\theta$ such that $90^{\circ}<\theta < 180^{\circ}$.

Step2: Check each set

• For the set $\{100^{\circ},90^{\circ},30^{\circ}\}$, $100^{\circ}$ is obtuse.
• For the set $\{10^{\circ},92^{\circ},120^{\circ}\}$, $92^{\circ}$ and $120^{\circ}$ are obtuse.
• For the set $\{89.1^{\circ},90^{\circ},89.8^{\circ}\}$, none of the angles satisfy $90^{\circ}<\theta < 180^{\circ}$.
• For the set $\{30^{\circ},41.8^{\circ},167^{\circ}\}$, $167^{\circ}$ is obtuse.

Answer:

$\{89.1^{\circ},90^{\circ},89.8^{\circ}\}$