Answer:
60°, 60°, 120° & 120°
Step-by-step explanation:
Let's give a name to the parallelogram.
ABCD is a parallelogram.
Given angles »
∠A = 60°
∠B = ∠z............(ii)
∠C = ∠x...........(i)
∠D = ∠y...........(iii)
(i)
We know,
In a parallelogram, opposite sides are equal.
∴ ∠A = ∠C
⇒ 60° = ∠x
Hence, ∠x = 60°
(ii)
We know, In a parallelogram,
Sum of adjacent ∠s = 180°
∴ ∠A + ∠B = 180°
⇒ 60° + ∠z = 180°
⇒ ∠z = 180° - 60°
⇒ ∠z = 120°
Hence, ∠z = 120°
(iii)
We know, In a parallelogram,
Sum of adjacent ∠s = 180°
∴ ∠A + ∠D = 180°
⇒ 60° + ∠y = 180°
⇒ ∠y = 180° - 60°
⇒ ∠y = 120°
Hence, the four angles of a parallelogram are
60°, 60°, 120° & 120°
