Question

7 find the measure of angle aoe.
8 find the measure of angle aob.
9 find the measure of angle cod.
10 find the measure of angle bod.

Explanation:

Step1: Recall straight - angle property

A straight - angle is 180°. $\angle AOC = 180^{\circ}$.

Step2: Find $\angle AOE$

Since $\angle AOE$ is a right - angle (marked with the square symbol), $\angle AOE=90^{\circ}$.

Step3: Find $\angle AOB$

$\angle AOC = 180^{\circ}$, $\angle BOC = 40^{\circ}$, so $\angle AOB=180 - 40=140^{\circ}$.

Step4: Find $\angle COD$

$\angle BOC = 40^{\circ}$, $\angle BOD$ and $\angle BOC$ are supplementary. Let's first find $\angle BOD$. $\angle BOE = 90^{\circ}-33^{\circ}=57^{\circ}$, so $\angle BOD=\angle BOE + 33^{\circ}=57^{\circ}+33^{\circ}=90^{\circ}$, then $\angle COD = 90 - 40 = 50^{\circ}$.

Step5: Find $\angle BOD$

$\angle BOE = 90 - 33=57^{\circ}$, $\angle BOD=\angle BOE+\angle EOD=57 + 33=90^{\circ}$.

Answer:

1. 90
2. 140
3. 50
4. 90