Question

The four angles of a quadrilateral are 8n the ratio 2:3:6:9 find the angles​

Answer 1

Answer:

angle a= 36⁰

angle b=54⁰

angle c=108⁰

angle d=162⁰

Step-by-step explanation:

Let the angles in the ratio 2:3:6:9 be 2x (angle a) , 3x (angle b) , 6x (angle c) and 9x (angle d) respectively.

sum of all angles of  a quadrilatéral(literal pronounced word of quadrilateral) is 360⁰.

2x+3x+6x+9x=360⁰

20x=360⁰

$x=\frac{360^o}{20}$

x=18⁰

You can verify by adding all angles and get 360⁰.

Hope you got the answer and plz mark me brainliest.

Answer 2

Correct Question -

The four angles of a quadrilateral are in the ratio 2:3:6:9 find all the angles.

Given -

• Ratio of angles of quadrilateral = 2:3:6:9

To find -

• Each angle of the quadrilateral

Solution -

Let the common ratio be "x"

Then ,

2 = 2x

3 = 3x

6 = 6x

9 = 9x

On substituting the values -

→ 2x + 3x + 6x + 9x = 360° (angle sum property of quadrilateral)

→ 20x = 360°

→ x= $\cancel{\dfrac{360}{20}}$

→ x = 18°

Finding each angle -

• 2x = 2 × 18 = 36°

• 3x = 3 × 18 = 54°

• 6x = 6 × 18 = 108°

• 9x = 9 × 18 = 162°

Verification :-

By placing each angle in place of x -

•36° + 54° + 108° + 162° = 360°

• 360° = 360°

LHS = RHS

Hence, proved

$\therefore$ Each angles area of 36°, 54°, 108° and 162°

______________________________________