The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The largest of these angles is
(a) 90°
(b) 120°
(c) 150°
(d) 102°

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Solution

Let the angles of a quadrilateral be (3x)^°, (4x)^°, (5x)^°and (6x)^°.
Sum of all the angles of a quadrilateral is 360^°.

∴ 3x + 4x + 5x + 6x = 360°
⇒ 18x = 360°
⇒ x = $\frac{360}{18}$
⇒ x = 20°
So,
3x = 60°
4x = 80°
5x = 100°
6x = 120°
The largest of these angles is 120°.
So, the correct answer is given in option (b).

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The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The largest of these angles is (a) 90° (b) 120° (c) 150° (d) 102°

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The largest of these angles is
(a) 90°
(b) 120°
(c) 150°
(d) 102°