Question

What is the measure of the 4 angles in a quadilateral if they are in the ratio 3:5:6:10?​

Answer 1

Answer:

Let the coefficient of ratio be x .Then,

Angles = 3x,5x,6x,10x

Sum of all 4 angles of quadrilateral = 360°

3x+5x+6x+10x = 360°

24x = 360°

x = 360°/24

= 15°

therefore, 3x = 3×15° = 45°

5x = 5×15° = 75°

6x = 6×15° = 90°

10x = 10×15° = 150°

Angles = 45°,75°,90°,150°

-:Verify:-

RHS = 360°

LHS = 45°+75°+90°+150°

= 360°

Hence, LHS = RHS

Answer 2

Let the angles of quadrilateral be 3x, 5x, 6x, 10x

Angle sum property of the quadrilateral is 360°.

3x+5x+6x+10x=360°

24x=360°

x=360°/24

x=15°

Value of angle 1 =3x

3×15

=45°

value of angle 2=5x

5×15

75°

Value of angle 3=6x=6×15=90°

value of angle 4=10x=10×15=150°

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HOPE THIS WILL HELP YOU THANK YOU