Question

question 4a
identify all obtuse angles in the drawing below.
options:
∠mon, ∠nop, ∠por, ∠rom
∠noq
∠poq, ∠qor
∠moq, ∠qon

Explanation:

An obtuse angle is defined as an angle greater than $90^\circ$ and less than $180^\circ$.

1. $\angle MON$ and $\angle POR$ are right angles ($90^\circ$), not obtuse.
2. $\angle NOP$ and $\angle ROM$ are straight angles ($180^\circ$), not obtuse.
3. $\angle POQ$ and $\angle QOR$ are acute angles (less than $90^\circ$), not obtuse.
4. $\angle NOQ$ is less than $180^\circ$ but greater than $90^\circ$, so it is obtuse. $\angle MOQ$ is also greater than $90^\circ$ and less than $180^\circ$, so it is obtuse.

Answer:

$\angle MOQ, \angle QON$