**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^{°}