Math, asked by adya8, 8 months ago

the angles of a quadrilateral are in the ratio 3:5:7:9 find each angle​

Answers

Answered by MPLKK
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 Sanjalik20
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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