Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The angles of a quadrilateral are in ratio 1:2:3:4. Which angle has the largest measure?

Options:

120°

36°

98°

None of the above

Correct Answer:

None of the above

Explanation:

Property:

The sum of interior angles of a quadrilateral is 360°.

Suppose, ABCD is a quadrilateral.
Let angle A be equal to x
Then,
x + 2x + 3x + 4x = 360°      [Angle sum property of quadrilateral]

10x = 360° (Ratio 1:2:3:4)
x = 36°
Hence, the greatest angle is 4x = 4 x 36 = 144°