Question

The angles of Quadrilateral are In ratio 3 : 5 : 9 : 13 . Find All the Angles! ​

Answer 1

Answer:

Let each Angle Be " x "

Sum Of Interior Angles of Quandrilateral = 360°

$\begin{gathered}:\implies\sf{ 3x + 5x + 9x + 13x = 360°} \\ \\ \\ :\implies\sf{ 30x = 360°}\\ \\ \\ :\implies\sf{ x =}\dfrac{360}{30}\\ \\ \\ :\implies\sf{ x = 12°}\end{gathered}$

${ \sf{ \color{maroon}{Measure \: Of \: Angles :−}}}$

• 3x = 3 × 12 = 36°

• 5x = 5 × 12 = 60°

• 9x = 9 × 12 = 108°

• 13x = 13 × 12 = 156°

Hope it Helps uh~

Answer 2

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To Solve:

• The angles of Quadrilateral are In ratio 3 : 5 : 9 : 13. Find All the Angles!

Solⁿ:

Ratio: 3 : 5 : 9 : 13

Let the Angles be : 3x, 5x, 9x, 13x

★ Sum of all the angles of a quadrilateral is 360°

3x + 5x + 9x + 13x = 360°

30x = 360°

x = 360/30

x = 12°

All Angles:

3x = 3×12

= 36°

5x = 5×12

= 60°

9x = 9×12

= 108°

13x = 12×13

= 156°

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HOPE IT HELPS ^^