Question

the angles of a quadrilateral are in the ratio 1 : 1 : 3 : 7 find each angle of the quadrilateral​

Answer 1

first angle is 30, second angle is 30, third is 90 and foruth is 210

Answer 2

Answer:

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 1:1:3:7

Let ∠A = 1x  ∠B = 1x  ∠C = 3x  ∠D = 7x

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 1x + 1x + 3x + 7x = 360°

⇒ 12x = 360

⇒ x = 360 ÷ 12 = 30

So , the angles of the quadrilateral is

∠A = (1 × 30)° = 30°

∠B = (1 × 30)° = 30°

∠C = (3 × 30)° = 90°

∠D = (7 × 30)° = 210