The angels of a quadrilateral are in the ration 1:2:3:4. Find the measure of each angle.
36o,72o,108o,144o
Let x be the common multiple.
As per question,
A = x
B = 2x
C = 3x
D = 4x
As we know that, Sum of all four angles of quadrilateral is 360o.
A +
B +
C +
D = 360°
x + 2x + 3x + 4x = 360°
10x = 360°
X= 360/10
= 36°
A = 1 X 36° = 36°
B = 2 X 36° = 72°
C = 3 X 36° = 108°
D = 4 X 36° = 144°
So, Angles of quadrilateral are 36°, 72°, 108° and 144°.