Question

the ratio between the angles of a quadrilateral is 4:5:7:8. find the angles of the quadrilateral​

Answer 1

Step-by-step explanation:

Given:-

the ratio between the angles of a quadrilateral is 4:5:7:8.

To find:-

find the angles of the quadrilateral ?

Solution:-

The ratio of the four angles of a quadrilateral are 4:5:7:8

Let they be 4x ,5x , 7x ,8x

Their sum = 4x +5x +7x +8x = 24x

we know that

the sum of all angles in a quadrilateral =360°

=>24x=360°

=>x=360°/24

=>x=30°/2

=>x=15°

=>4x=4(15)=60°

=>5x=5(15)=75°

=>7x=7(15)=105°

=>8x=8(15)=120°

Answer:-

The four angles in the quadrilateral are 60° , 75° , 105° , 120°

Used formula:-

• The sum of all four angles in a quadrilateral is equal to 360°