Question

The angle of a quadrilateral is in the ratio of 6:7:8:15. Find the measure of each angle.​

Answer 1

Answer:

A quadrilateral has 4 sides . And the total sum of angles adds up to 360 degrees . The given ratios are 6:7:8:15

Lets assume angle 1 as A=6

                     angle 2 as B=7

                     angle 3 as C=8

                     angle 4 as D=15

Angle A+B+C+D = 360 Degrees

6+7+8+15 = 36 .

Angle A = 6 / 36 * 360 = 60

Angle B = 7 / 36 * 360 = 70

Angle C = 8 / 36 * 360 = 80

Angle D = 15 / 36 * 360 = 150

Now , add all the angles and equate it with 360 .

Angle A+B+C+D = 360 Degrees  

Which is , 60 + 70 + 80 + 150 = 360

                                         360 = 360

Therefore , LHS = RHS .

Angle A = 60

Angle B = 70

Angle C = 80

Angle D = 150

Step-by-step explanation:

Hope it helps you and mark me the brainliest !

                               (:  KEEP SMILING  :)