Question

the angles of a quadrilateral are in the ratio 3:5:7:9 .The measure of its smallest angle is​

Answer 1

total angles in quad are 360 degrees

so sum of angles be 360

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

24 x = 360

x = 360/24

x = 15

so smallest angle is 3x sub x = 15 in 3x

3 * 15 = 45 is the smallest angle

Answer 2

Step-by-step explanation:

let the no. be 3x,5x,7x and 9x.

3x+5x+7x+9x=360°

24x=360°

x=360°/24

x=15°

3x=3 x 15°

=45°

5x=5 x 15°

=75°

7x=7 x 15°

=105°

9x=9 x 15°

=135°

Therefore, smallest angle is 45°.

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