Question

2.

up to 180
Calculate the sizes of the angles inside the following parallelogram:
3.
Calculate the sizes of the unknown angles marked on the following diagram:
undation

Answer 1

See the explanation part.

Explanation:

2. a = 28° {Since they are corresponding angles}

d + 28° = 180°, ⇒ d = 152° {Supplementary angles}

b = d = 152°

c = a = 28°

3. a + 120° = 180°, ⇒ a = 60°

a = b = 60° {Alternate angles)

b + c = 180°, ⇒ c = 180° - 60° = 120°

d = a = 60° {Corresponding angles}

e = 110° {Opposite angles}

e + f = 180°{Supplementary angles)

⇒ f = 180° - 110° = 70°

a + g + f = 180° {They form a triangle}

⇒ g = 180° - a - f = 180° - 60° - 70° = 50° (Answer)