The angles of a quadrilateral are in ratio 1:2:3:4. Which angle has the largest measure?
Answer & explanation
Correct answer: option 4
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°