Q3 of 45 Page 59

Find the value of x in each of the following diagrams:

Given: ∠COF = 3x, ∠AOE = x and ∠BOD = x + 30

We know by proposition 4,


∠AOE = ∠BOF = x (vertically opposite angles)


We know by proposition 1,


∠COF + ∠BOF + ∠BOD = 180°


3x + x + x + 30° = 180°


5x = 180° - 30°


5x = 150°


x = 30°


More from this chapter

All 45 →
3

Find the value of x in each of the following diagrams:

 3

Find the value of x in each of the following diagrams:

 3

Find the value of x in each of the following diagrams:

 4

Which pair of angles are supplementary in the following diagram? Are they supplementary rays?