Angles of a quadrilateral are in the ratio 3 : 4 : 5 : 8. The smallest angle is

54°
40°
36°
18°

Correct Answer: 54°

Explanation:

Let First angle = 3k
Second angle = 4k
Third angle = 5k and
Fourth angle = 8k
We know 3k + 4k + 5k + 8k = 360°
⇒ 20k = 360°
∴ k = 18 °
Measure of smallest angle = 3k
=3 x 18 °
= 54 °

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