If the measures of angles of a quadrilateral are in the ratio 2 : 3 :

1.	If the measures of angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then their measures in degrees will be (A) 20°, 40°, 60°, 80° (B) 40°, 60°, 80°, 100° (C) 40°, 60°, 140°, 120°(D) 40°, 60°, 160°, 120°
Answer» (C) 40°, 60°, 140°, 120° Let the measures of the angles of the quadrilateral be 2k, 3k, 7k and 6k in degrees. Now, 2k + 3k + 7k + 6k = 360° ….[ ∵ the sum of angles of a quadrilateral is 360°] ⇒ 18k = 360° ⇒ k = 20° The measures of the angles of quadrilateral are 2k = 2 x 20° = 40° 3k = 3 x 20° = 60° 7k = 7 x 20° = 140° 6k = 6 x 20° = 120°

If the measures of angles of a quadrilateral are in the ratio 2 : 3 : 7 : 6, then their measures in degrees will be (A) 20°, 40°, 60°, 80° (B) 40°, 60°, 80°, 100° (C) 40°, 60°, 140°, 120°(D) 40°, 60°, 160°, 120°

Answer»

(C) 40°, 60°, 140°, 120°

Let the measures of the angles of the quadrilateral be 2k, 3k, 7k and 6k in degrees.

Now, 2k + 3k + 7k + 6k = 360°

….[ ∵ the sum of angles of a quadrilateral is 360°]

⇒ 18k = 360°

⇒ k = 20°

The measures of the angles of quadrilateral are

2k = 2 x 20° = 40°

3k = 3 x 20° = 60°

7k = 7 x 20° = 140°

6k = 6 x 20° = 120°