Question

given one side of a parallelogram measure 100° then what is the value of other three angles of a parallelogram
hint : in the figure​

Answer 1

Answer:

x=80°, y=100°, z=80°

Step-by-step explanation:

∠B=100°

∠B=∠D   (100°=y)    [Opposite angles of a parallelogram are equal]

And, ∠A=∠C (z=x) [Opposite angles of a parallelogram are equal]

In parallelogram ABCD,

∠A + ∠B +∠C+ ∠D = 360°

z+ 100° + x + 100° = 360°

2z =360°- 200°

 z=160°/2

 z=80°

Therefore, ∠A=z= 80°, ∠C=x=z= 80°, ∠D=y=100°