Question

The angles of a quadrilateral are
ratio 6: 4: 3:2. Find the difference between largest
smallest angle​

Answer 1

Answer:

96°is the diff. b/w larger and smaller angles...

Answer 2

Answer:

Largest angle is 144° and smallest angle is 48° and difference between largest and smallest angle is 96°...

Step-by-step explanation:

Let the ratios be x

6x,4x,3x and 2x

As we all know sum of all angles of quadrilateral =360°

so, 6x+4x+3x+2x=360°

15x=360°

x=360°/15

x=24°

so, know we can find all four angles of quadrilateral..

6x=6×24°=144°.

4x=4×24°=96°.

3x=3×24°=72°.

2x=2×24°=48°.

Angles of quadrilateral are 144°,96°,72°and 48°...

Hence, largest angle is 144° and smallest angle is 48°.

difference between largest and smallest angle is 144°-48°=96°. Hence, difference between largest and smallest angle is 96°...

Thank you ...I hope it will help you...