Question

Find the values of x, y and z in each of the following figures​

Answer 1

Answer:

Step-by-step explanation:

a)using vertically opposite sngles

x=55°

now cd is a line and using linear pair theorm

∡BOC+∡BOD=180°

that is x+y=180

55+y=180

y=180-55

thereforey=125

now y=z (using vertically opposite angles

therefore z=125°

b)using vertically opposite angle z=40°

now y+z=180(linearpair)

y+40=180

y=180-40

y=140°

now ∡AOC+∡COP+∡POB=180°(linear pair)

40+x+25=180

65+x=180

x=115°