Answer:
∠AOB = 120°
∠BOC = 140°
∠BOD = 140°
Step-by-step explanation:
First, find X !
Full circle is 360°
360 = (2x + 80) + (5x + 40) + 4x + x
360 = 12x + 120
240 = 12x
x = 20°
Substitute the X
∠AOB ≡ (2x + 80) =
(2(20) + 80) = 120°
∠BOC ≡ (5x + 40) =
(5(20) + 40) = 140°
∠BOD = ∠AOB + ∠DOA ≡
120 + x = 120 + 20 = 140°
Answer:
The rectangle is a parallelogram.
Step-by-step explanation:
Parallelograms are shapes with two pairs of parallel sides.
The rectangle is the only shape that meets those requirements.
