Question

The measures of the angles of a quadrilateral are in the ratio 2 : 3 : 6 : 7.
Find the number of degrees in the largest angle of the quadrilateral.

Answer 1

Answer:

140°

Step-by-step explanation:

2x° + 3x° + 6x° + 7x° = 360°

18x° = 360°

x° = 20°

The measure of the largest angle of the quadrilateral is

7 × 20° = 140°

Answer 2

Answer:

⇒Sum of all the angles in quadrilateral = 360°

⇒ratio of all the  angles given = 2 : 3 : 6 : 7

∴ 2x + 3x + 6x + 7x = 360°

⇒18x = 360°

⇒x = 360°/18

⇒x = 20°

∵7x is the largest ratio , the no. of degrees in the largest angle of the quadrilateral = 7 * 20 = 140°