Question

Question is in pic plz solve it ​

Answer 1

Answer:

The angles are 36°, 60°, 108° and 156°

Step-by-step explanation:

Let the angles be 3x, 5x, 9x and 13x

Angle sum property of quadrilateral=360°

So,

3x+5x+9x+13x=360°

30x=360°

x=360/30

x=12

Therefore, the angles are:

3x=3×12=36°

5x=5×12=60°

9x=9×12=108°

13x=13×12=156°

Hence, the angles are 36°, 60°, 108° and 156°

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Answer 2

Let the common ratio between the angles be 'x'.

Therefore, The angles will be 3x, 5x, 9x and 13x respectively.

As the sum of all interior angles of a quadrilateral is 360°,

∴ 3x + 5x + 9x + 13x = 360°

$\implies \tt 30x = 360°$

$\implies \tt x = \frac{360°}{30°}$

$\implies \tt x = 12°$

Therefore, the angles are

• 3x = 3 × 12 = 36°
• 5x = 5 × 12 = 60°
• 9x = 9 × 12 = 108°
• 13x = 13 × 12 = 156°

Hence, the angles are 36°, 60°, 108°, 156°.