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