PQRS IS A PARALLELOGRAM. ONE PAIR OF ITS ADJACENT ANGLES ARE IN THE RATIO 3:1. FIND ALL THE 4 ANGLES......
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Given: ∠A= 3x ; ∠B= x ; ∠C= 3x ; ∠D= x
∴ opp sides of a parallelogram is equal
By Angle Sum Property
∠A+∠B+∠C+∠D= 360°
3x+x+3x+x= 360°
8x= 360°
x= 360/8= 45°
∵∠A= 3x= 3(45)= 135°
∠B= x= 45°
∠C= 3x= 3(45)= 135°
∠D= x= 45°
∴ opp sides of a parallelogram is equal
By Angle Sum Property
∠A+∠B+∠C+∠D= 360°
3x+x+3x+x= 360°
8x= 360°
x= 360/8= 45°
∵∠A= 3x= 3(45)= 135°
∠B= x= 45°
∠C= 3x= 3(45)= 135°
∠D= x= 45°
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