Question

can someone do this one for me? It would be nice if you also measure for AOB and DOC too but not required

Answer 1

• ∠AOD ∠BOC = 49°
• ∠AOB = ∠DOC = 131°

Explanation:

Pick any pair of angles and write the equation that expresses their relationship. Solve for x, then use that value in any of the angle expressions to find the corresponding angle value.

For example, ...

∠AOD + ∠AOB = 180°

(5x -1) +(9x +41) = 180

14x = 140 . . . . . collect terms, subtract 40

x = 10 . . . . . . . . divide by 14

Now the angles are ...

∠AOD = (5·10 -1)° = 49°

∠AOB = (9·10 +41)° = 131° . . . . . supplementary to 49°

The remaining linear or vertical angles are equal to one or the other of these.