Question

The four angles of a quadrilateral are in the ratio 3: 5:7: 9 find the smallest angle.​

Answer 1

Answer:

45°

Step-by-step explanation:

let common ratio be x

total angles = 3x + 5x + 7x + 9x = 24x = 360°

∴ x = 360°/24 = 15°

hence, smallest angle = 3x = 3(15°) = 45°

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Answer 2

Answer:

3: 5:7: 9

we can write

3x+5x7x+9x= 360°

24x=360

x=360/24

x=15

3x=3×15=45

5x=5×15= 75

7x=7×15=105

9x=9×15=135

smallest angle is 45°