Question

The four angles of the quadriletral are in the ratio of 3:4:6:7 find the angles​

Answer 1

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Answer 2

Answer:

54°,72°,108°,126°

Given :

• The ratio of four angles of a quadrilateral is 3:4:6:7

We know that the Sum of angles of a quadrilateral is 360°.

Then,

Take x along with all ratios to find angles ;

= 3 : 4 : 6 : 7 = 360

= 3x + 4x + 6x + 7x = 360

= 7x + 13x = 360

= 20x = 360

= x = 360/20

= x = 18

So, x = 18.

3x : 4x : 6x : 7x = 360

= 3x

= 3 × 18

= 54

_______________

= 4x

= 4× 18

= 72

_______________

= 6x

= 6 × 18

= 108

________________

= 7x

= 7× 18

= 126

__________________

54 + 72 + 108 + 126 = 360.

The angles of the Quadrilateral are 54°, 72°, 108°,126°