Question

question 4a
identify all obtuse angles in the drawing below.

$\angle moq, \angle qon$
$\angle poq, \angle qor$
$\angle mon, \angle nop, \angle por, \angle rom$
$\angle noq$

Explanation:

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

1. $\angle MOQ$: Spans from $OM$ to $OQ$, covering more than a right angle (between $90^\circ$ and $180^\circ$), so it is obtuse.
2. $\angle QON$: Spans from $OQ$ to $ON$, covering more than a right angle (between $90^\circ$ and $180^\circ$), so it is obtuse.
3. $\angle POQ$ and $\angle QOR$ are acute (less than $90^\circ$).
4. $\angle MON, \angle NOP, \angle POR, \angle ROM$ are all right angles ($90^\circ$) or straight angles ($180^\circ$), not obtuse.
5. $\angle NOQ$ is acute (less than $90^\circ$).

Answer:

$\angle MOQ, \angle QON$