Question

Give the measure of angles a, b, c, d, e, f and g in the figure given alongside ​

Answer 1

Answer:

Step-by-step explanation:

Given ,

angle opposite to b is 55°

Then, ∠b = 55° (because they are vertically opposite angles)

∠a + 55 = 180° (adjacent angles  add up to 180°)

∠a = 180-55

∴ ∠a = 125°

∠a = ∠c (vertically opposite angles)

∴∠c = 125°

∠b = ∠f  and ∠c = ∠d (because they are internal opposite angles)

∴∠d = 125° and ∠f = 55°

∠f = ∠g  and  ∠d = ∠e (vertically opposite angles)

∴∠g = 55°  and ∠e = 125°

Answer 2

Answers:

d = a = 125° ( corresponding angles)

a = c = 125° ( Vertically opposite angles)

b = g = 55° (corresponding angles)

d = e = 125° (Vertically opposite angles)

g = f = 55° ( vertically opposite angles)

Step by step:

Given,

one angle is 55°

b = 55° ( vertically opposite angles)

Angle on same side of transversal are called co-interior angles and co-interior angles are always supplementary . b and d are co-interior angles

b + d = 180°

55 + d = 180

d = 180 - 55d = 125°

d = a = 125° ( corresponding angles)

a = c = 125° ( Vertically opposite angles)

b = g = 55° (corresponding angles)

d = e = 125° (Vertically opposite angles)

g = f = 55° ( vertically opposite angles)

THANKS

I HOPED IT HELPED