Question

Find the measure of the four angles of a quadrilateral if the are in ratio 3 : 5 : 7 : 9

Answer 1

Answer:

45. ,75. ,105. ,135.

Step-by-step explanation:

3x+5x+7x+9x=360

24x=360

x=360/24

x=15.

if,x=15

then,

3x=15*3=45

5x=15*5=75

7x=15*7=105

9x=15*9=135

Answer 2

Sum of all angles of quadrilateral measure = 360°
So we can take it as:
3x + 5x + 7x + 9x = 360
24x = 360
x = 360/24
x = 15

Since x= 15
We can multiply each number of the ration and get the measure of each angle

3*15= 45
5*15 = 75
7*15 = 105
9*15= 135

Check:
45+75+105+135 = 360