Question

the four angles of a quadrilateral are 3:5:7:9. find the angles​

Answer 1

Answer:

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Step-by-step explanation:

3x + 5x + 7x + 9x = 360°

24x = 360°

x = = 15°

Hence, the angles are 3 x 15° = 45°

5 x 15° = 75°

7 x 15° = 105°

9 x 15° = 135°

Answer 2

Let the angles be 3x, 5x, 7x, and 9x.

We know,

• Sum of angles of a quadrilateral is 360°

Therefore,

$\bf \mapsto 3x + 7x + 5x + 9x = 360\degree \\ \: \: \: \: \: \: \: \: \: \to \: \: \: \: \: \: \bf24x = 360\degree \\ \: \: \: \: \: \: \: \: \: \to \: \: \: \: \: \: \: \: \: \: \: \: \bf x = \frac{360}{24} \\ \\ \: \: \: \: \: \: \: \: \: \to \: \: \: \: \: \: \: \: \: \: \: \: \bf x = 15\degree$

Hence,

$\rm {1}^{st} \: \angle \: = \red{45 \degree}\\\rm {2}^{nd} \: \angle =\red{ 75\degree} \\\rm {3}^{rd} \: \angle =\red{ 105\degree} \\\rm {4}^{th} \: \angle = \red{ 135\degree}$