Question

Find the measure of the fou
r angles of a quadrilateral of they are in the ratio 3:5:7:9​

Answer 1

Answer:

therefore, the angle of the quadrilateral is 45 , 75 , 105 & 135

Step-by-step explanation:

let the X in the ratio 3:5:7:9 be 3x, 5x, 7x & 9x

3x + 5x + 7x + 9x = 360°

24x = 360°

x = 15 °

Answer 2

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Given

• Ratio of angles = 3 : 5 : 7 : 9

To Calculate

• All angles of quadrilateral

Concept

According to the angle sum property of a Quadrilateral, the sum of all the four interior angles is 360°

Solution

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

According to question,

$\bf \implies 3x + 5x + 7x + 9x = 360°$

$\bf \implies 24x = 360$

$\bf \implies x = 360 \div 24$

$\bf \implies x = 15 \degree$

↪3x = 3 × 15 = 45°

↪5x = 5 × 15 = 75°

↪7x = 7 × 15 = 105°

↪9x = 9 × 15 = 135°

Therefore, angles are 45°, 75°, 105° and 135°.