Question

in the quadrilateral , if anglea A :angle B : angle C : angle D:=1:2:3:4 than find the measure of each angle of the​

Answer 1

Given:

• The ratio of angles in a quadrilateral are 1 : 2 : 3 : 4

To Find:

• The measure of each angle

Solution:

Let,

• The angles be 1x , 2x , 3x , 4x

We know that,

• The sum of interior angles in a quadrilateral equals 360° respectively

Framing an equation we get,

➱ 1x + 2x + 3x + 4x = 360°

➱ 10x = 360°

➱ x = 360/10

➱ x = 36°

Hence:

• The angles are : -

➼ 1(36) = 36

➼ 2(36) = 72

➼ 3(36)= 108

➼ 4(36) = 144