Question

5. Find the measures of the four angles of a quadrilateral, if they are
in the ratio 3: 5:7:9.


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Answer 1

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As we know that measure of all interior angles of a quadrilateral is 360°

Given ratio of these angles are

3:5:7:9

Hence, we can write it as

3x + 5x +7x + 9x = 360°

24 x = 360°

x = 360/24

x = 15°

Now multiple all ratios with X.

3 ×15 = 45°

5× 15 = 75°

7×15 = 105°

9×15 = 135°

Hope it helps

Answer 2

Answer:

45°,75°,105°,135°

Step-by-step explanation:

1) since *Quad*rilateral it's 360°

2) converting ratio to expression :

3x,5x,7x,9x

3) equating:

3x+

5x+

7x+

9x=360°

4) Finding x:

x=15

5) Finding angles:

3x=3*15 =45°

5x=5*15=75°

7x=7*15=105°

9x=9*15=135°

6) Hence the angles are:

45°,75°,105°,135°

7) verification:

45°+75°+105°+135° = 360°

PS: referred partially from shorya9017 answer