Question

(1) The angles of a quadrilateral are in the
ratio 3:4:5:6. ​Find them.
​

Answer 1

Step-by-step explanation:

Let the angles be 3x 4x 5x and 6x

Sum of all angles of a quadrilateral = 360°

3x+4x+5x+6x = 360°

=>18x = 360°

=> x = 20°

Hence,

angles are

60°, 80°,100°,120°

Answer 2

Question:-

The angles of a quadrilateral are in the

ratio 3:4:5:6. Find them.

To Find:-

• Angles of the quadrilateral

Given:-

• 3:4:5:6

We know that the sum of angles of quadrilateral is 360°.

Now,

• Let the sides be 3x ,4x,5x,6x

Solution:-

$\rightarrow \: 3x + 4x + 5x + 6x = 360 \degree$

$\purple{ \rightarrow} \: 18x = 360 \degree$

$\pink{ \rightarrow} \: x = \frac{360}{18} = 20$

Now the measures of angles

$\pink↝ \: 3x = 3 \times 20 = 60 \degree$

$\purple↝ \: 4x = 4 \times 20 = 80 \degree$

$\color{gold}{↝} \pink{\: 5x = 5 \times 20 = 100} \degree$

$\color{aqua}↝ \purple{\: 6x = 6 \times 20 = 120} \degree$

Therefore the angles are:-

• 60°
• 80°
• 100°
• 120°