Question

The angle of a quadrilateral are in the ratio 2:3:5:6 . Find the measure in degree.​

Answer 1

Answer:

2x + 3x + 5x + 6x = 360°

16x = 360°

x = 360/16

x = 22.5

2x = 45°

3x = 67.5°

5x = 112.5°

6x = 135°

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Answer 2

Answer:

Measure of angles of quadrilateral is $45$° ,$67.5$° ,$112.5$° ,$135$° .

Step-by-step explanation:

To find : measure of angles of quadrilateral .

Given : angle of a quadrilateral are in the ratio $2:3:5:6$.

Solution :

• As per given data we know that angle of a quadrilateral are in the ratio $2:3:5:6$ .
• Let , $2x, 3x, 5x, 6x$ be the angles of quadrilateral  .
• We know that sum of interior angles of quadrilateral is $360$° .
• Therefore , we solve $2x + 3x+ 5x + 6x = 360$ .

         $2x + 3x+ 5x + 6x = 360 \\\\16x = 360 \\\\ x = \frac{360}{16} \\\\ x =22.5$  

• Now , substituting the value of $x$ in $2x, 3x, 5x, 6x$ to find original measure of angles .
• $2x = 2\times 22.5 = 45$°
• $3x = 3\times 22.5 =67.5$°
• $5x = 5\times 22.5 = 112.5$°
• $6x = 6\times 22.5 = 135$°