the angles of a quadrilateral are in the ratio 3:5:7:9 find each angle
Answers
Answered by
1
45°,75°,105°,135°
Step-by-step explanation:
as as the angles are in ratio the first of all let's convert them.
Let ,
angle a = 3x
angle B = 5x
angle c = 7x
angle d = 9x
in any quadrilateral ABCD, angle a + angle B + angle c + angle D = 360°
3x + 5x + 7x + 9x = 360
24 x = 360
x = 15
angle a = 3x = 3(15)= 45°
angle B = 5 x =5(15)=75°
angle c = 7 x = 7 (15)=105°
Answered by
0
Answer:
Sum of all angles of quadrilateral = 360
So 3X+5X+7X+9X=360
24X=360
X=360/24
X=15
Angles
3X=45
5X=75
7X=105
9X=135
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