Question

Plz help plz plz only 4 question​

Answer 1

c.

x = 130° (exterior opposite angles)

y + x = 180° (linear pair of angles)

=> y + 130° = 180°

=> y = 180° - 130°

=> y = 50°

d.

z = 100° (corresponding angles)

a = 100° (corresponding angles)

x + 100° = 180° (linear pair of angles)

=> x = 180° - 100°

=> x = 80°

y = x (interior opposite angles)

=> y = 80°

b = y (corresponding angles)

=> b = 80°

g.

a = 112° (vertically opposite angles)

b = a (interior opposite angles)

=> b = 112°

x = 78° (vertically opposite angles)

x + y = 180° (interior angles on the same side of transversal)

=> 78° + y = 180°

=> y = 180° - 78°

=> y = 102°

h.

f = 120° (vertically opposite angles)

e = 105° (vertically opposite angles)

c = 120° (corresponding angles)

d = 105° (corresponding angles)

a + d = 180° (linear pair of angles)

=> a + 105° = 180°

=> a = 180° - 105°

=> a = 75°

b + c = 180° (linear pair of angles)

=> b + 120° = 180°

=> b = 180° - 120°

=> b = 60°