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The angles of a quadrilateral are in the ratios 3 : 5: 7 : 9. The measure of the smallest angle is:
Question

The angles of a quadrilateral are in the ratios 3 : 5: 7 : 9. The measure of the smallest angle is:

A.

45°

B.

36°

C.

60°

D.

62°

Correct option is A

Given:
Sides of quadrilateral is ratio = 3: 5: 7: 9
Concept:
Sum of all the angles in quadrilateral = 360°
Solution:
Let the constant be x
=> 3x + 5x +7x +9x =360°
=> 24x = 360° => x = 15°
According to question: measure of the smallest angle is 3x
∴ 3x × 15°
= 45°

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