Question

The angles of a quadrilateral are in the ratio of 1:3:1:3 Find the measure of each angle​

Answer 1

Let the angle be x

x + 3x + x + 3x = 360

8x = 360

x = 360/8

x = 45°

Angle 1 = 45°

Angel 2 = 135°

Angle 3 = 45°

Angle 4 = 135°

Answer 2

Answer:

45° , 135°, 45°, 135°

Step-by-step explanation:

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

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

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

⇒ 1x + 3x + 1x + 3x = 360°

⇒ 8x = 360

⇒ x = 360 ÷ 8 = 45

So , the angles of the quadrilateral is

∠A = (1 × 45)° = 45°

∠B = (3 × 45)° = 135°

∠C = (1 × 45)° = 45°

∠D = (3 × 45)° = 135°