Question

in rectangle abcd <a:<b:<c:<d=3:4:5:6,find all the angles of rectangle and
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Answer 1

Given :

• Shape = Rectangle
• In a rectangle ABCD , a:<b:<c:<d = 3:4:5:6.

To Find :

• All the Angles of the Rectangle

Solution :

✰ Let's Assume the First, Second, Third and Fourth angle of the Rectangle be 3x , 4x , 5x and 6x respectively.

⠀⠀⠀⠀✶ Sum of all the angles = 360° ✶

⠀

⟶⠀3x + 4x + 5x + 6x = 360°

⟶⠀7x + 11x = 360°

⟶⠀18x = 360°

⟶⠀x = 360°/18

⟶⠀x = 20°

Therefore :

⇢ First Angle = 3x

⇢ First Angle = 3 × 20

⇢ First Angle = 60°

⇢ Second Angle = 4x

⇢ Second Angle = 4 × 20

⇢ Second Angle = 80°

⇢ Third Angle = 5x

⇢ Third Angle = 5 × 20

⇢ Third Angle = 100°

⇢ Fourth Angle = 6x

⇢ Fourth Angle = 6 × 20

⇢ Fourth Angle = 120°

So Angles of Rectangle are 60°<80°<100°<120°

___________________

Answer 2

Given:

Shape = Rectangle

In a rectangle ABCD , a:<b:<c:<d = 3:4:5:6.

To find:

All the Angles of the Rectangle

Solution:

✰ Let's Assume the First, Second, Third and Fourth angle of the Rectangle be 3x , 4x , 5x and 6x respectively.

⠀⠀⠀⠀✶ Sum of all the angles = 360° ✶

⠀

⟶⠀3x + 4x + 5x + 6x = 360°

⟶⠀7x + 11x = 360°

⟶⠀18x = 360°

⟶⠀x = 360°/18

⟶⠀x = 20°

Therefore :

⇢ First Angle = 3x

⇢ First Angle = 3 × 20

⇢ First Angle = 60°

⇢ Second Angle = 4x

⇢ Second Angle = 4 × 20

⇢ Second Angle = 80°

⇢ Third Angle = 5x

⇢ Third Angle = 5 × 20

⇢ Third Angle = 100°

⇢ Fourth Angle = 6x

⇢ Fourth Angle = 6 × 20

⇢ Fourth Angle = 120°

So Angles of Rectangle are 60°<80°<100°<120°

___________________

Hope it will helps you ❤️