Question

The anglesof quadrilateral are in the ratio 2:3:5:6.find their measure in degree

Answer 1

Answer:

45, 67.5, 112.5, 135 degrees are the measure of angles of quadrilateral.

Step-by-step explanation:

Let the angles be 2x, 3x, 5x, 6x.

➡️ Sum of all angles of quad = 360°

➡️ 2x + 3x + 5x + 6x = 360 °

➡️ 16x = 360°

x = 360/16

x = 90/4

x = 45/2

x = 22.5 °

2x = 2 ☓ 22.5 = 45 degree

3x = 3 ☓ 22.5 = 67.5 degree

5x = 5 ☓ 22.5 = 112.5 degree

6x = 6 ☓ 22.5 = 135 degree

Answer 2

Answer:

45 degrees

67.5 degrees

112.5 degrees

135 degrees

Step-by-step explanation:

Let the common ratio=x

therefore the ratio would be 2x:3x:5x:6x

2x+3x+5x+6x=360 degrees(angle sum property of a quadrilateral)

16x=360

x=360/16

x=22.5 degrees

2x=45 degrees

3x=67.5 degrees

5x=112.5 degrees

6x=135 degrees

Thanks for the question