Question

3 angle aoc = 4 angle aoc = 5 angle boc = 6 angle aod = 7 angle aod = 8 angle aod =

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. Supplementary angles add up to 180 degrees.

Step2: Solve for angle AOC in problem 3

$\angle AOC$ and the 140 - degree angle are vertical angles. So $\angle AOC=140$.

Step3: Solve for angle AOC in problem 4

$\angle AOC$ and the 77 - degree angle are supplementary. So $\angle AOC = 180 - 77=103$.

Step4: Solve for angle BOC in problem 5

The sum of angles around a point is 360 degrees. $\angle BOC=360-(30 + 91)=239$. But considering the non - reflex angle, $\angle BOC = 180-(30)=150$.

Step5: Solve for angle AOD in problem 6

The sum of angles around a point is 360 degrees. First, find the third non - given angle: $360-(132 + 55)=173$. $\angle AOD$ and the 132 - degree angle are supplementary, so $\angle AOD=180 - 132 = 48$.

Step6: Solve for angle AOD in problem 7

The sum of angles around a point is 360 degrees. First, find the fourth non - given angle: $360-(35 + 111)=214$. $\angle AOD$ and the 35 - degree angle are supplementary, so $\angle AOD=180 - 35=145$.

Step7: Solve for angle AOD in problem 8

$\angle AOD=180-(30 + 15)=135$.

Answer:

1. N/A
2. N/A
3. 140
4. 103
5. 150
6. 48
7. 145
8. 135