Question:
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio of 1: 2: 4: 5. Find the measure of each angles of the quadrilateral
Solution:
Let the angles of the quadrilaterals be
A = x, B = 2x, C = 4x and D = 5x
Then,
A + B + C + D = 360°
⟹ x + 2x + 4x + 5x = 360°
⟹ 12x = 360°
⟹ x = 360°/12
⟹ x = 30°
Therefore, A = x = 30°
B = 2x = 60°
C = 4x = 120°
D = 5x = 150°