Question

The angle of quadrilateral are in the ratio 1:2:3:4. If the sum of the angle of a quadrilateral 360° find the measure of each qngle

Answer 1

Let's  take a common angle x

then it will be x, 2x, 3x, 4x

then equation

x + 2x+ 3x+ 4x = 360

or 3x + 7x = 360

or 10x = 360

or x = 36

then 2x = 2*36 = 78

then 3x = 3*36 = 108

then 4x = 4*36 = 144

Answer 2

Answer:-

Step by step explanation


Let angleA be x

angleB be 2x

angleC = 3x

angleD = 4x


A / q

We know that the sum of the angles of a quadrilateral is 360°

angleA + angleB + angleC + angleD = 360°

=> x + 2x + 3x + 4x = 360°

=> 10x = 360°

=> x = 360° / 10

=> x = 36°


angleA = x = 36°

angleB = 2x = 2 × 36° = 72°

angleC = 3x = 3 × 36° = 108°

angleD = 4x = 4 × 36° = 144°


Therefore, the measure of each angles are 36°, 72°, 108°, and 144°.


Hope it helps!