Question

2) a) Find the values of x, y, z in the following figures.​

Answer 1

Answer:

X+40=y(vertically opposite angle)

X+10=z(vertically opposite angle)

X+40+X+10=180° (linear pair)

2x+50=180°

2x=180-50

2x=130°

X= 130/2

X=65

X+40=65+40=105°

X+10=65+10=75°

y=105°(vertically opposite angle)

z=75°(vertically opposite angle)

Hope this helps you..........

Answer 2

Answer:

x = 65°

y = 105°

z = 85°

Step-by-step explanation:

x + 10 = z (Opposite Angles Equal in 2 straight intersecting lines)

x + 40 = y (Opposite Angles Equal in 2 straight intersecting lines)

x + 10 + x + 40 = 180° (Linear Pair equates to 180°)

2x + 50 = 180°

2x = 130°

∴ x = 65°

∴ y = 65 + 40 = 105°

∴ z = 65 + 10 = 85°