Harshit Singh
Last Activity: 4 Years ago
Dear Student
The ratio of the angles of quadrilaterals = 1 : 2 : 3 : 4
Let the four angles of the quadrilateral be x, 2x, 3x, and 4x respectively.
The sum of four angles of a quadrilateral is 360°.
Therefore,
x + 2x + 3x + 4x = 360°
10x = 360°
x = 360°/10
x = 36°
Therefore,
First angle = x = 36°
Second angle = 2x = 2× 36 = 72°
Third angle = 3x = 3× 36 = 108°
Fourth angle = 4x = 4× 36 = 144°
Hence, the measure of four angles is 36°,72°, 108°and 144°.
Thanks