Question

the angles of a quadrilateral are in ratio 3:7:11:15, find the measure of the angles​

Answer 1

Answer:

30,70,110,and 150 respectively

Step-by-step explanation: We know that sum of the angles of quadilaterals are 360degree so

take 3:7:11:15 as 3x, 7x, 11x and 15x

now 3x+7x+11x+15x= 360

36X= 360

x=360/36

x=10 now subsitude the value of x in 3x 7x 11x and 15x

3x= 3*1= 30

7x= 7*10= 70

11x= 11*10=110

15x= 15*10=150

Answer 2

Let the angles be 3x , 7x ,11x and 15x
ATQ,
3x+7x+11x+15x = 360. (Angle Sum Property of Quadrilateral)

36x = 360
x = 360/36
x = 10

Finding Measures of all angles:
3x = 3*10
=30

7x= 7*10
=70

11x = 11*10
=110

15x = 15*10
=150