Question

THE ANGLES OF A QADRILATERLAL ARE IN THE RATIO 2:3:4:6. FIND THE MEASURE OF EACH OF THE FOUR ANGLES​

Answer 1

Answer:

The measure of each of these angles is 48° , 72° ,96° and 144° Step-by-step explanation: We are given that The angles of quadrilateral are in the ratio 2:3:4:6.

Answer 2

Answer:

let the angles be,

2x,3x,4x,6x

we know that the sum of all the angles of a quadrilateral is 360 degree

⇒2x+3x+4x+6x=360

⇒15x=360

⇒x=360 ÷ 15

⇒x=24

therefore the angles are-

2x⇒2*24=48 degree

3x⇒3*24=72 degree

4x⇒4*24=96 degree

6x⇒6*24=144 degree