Question

(i) Angles of a quadrilateral are in the ratio 7:8:9:12. Find the angles.
​

Answer 1

S O L U T I O N :

Given :

Angels of a quadrilateral are in the ratio 7:8:9:12.

Explanation :

Let the ratio of angle be x .

• 1st angle = 7x
• 2nd angle = 8x
• 3rd angle = 9x
• 4th angle = 12x

According to the question :

As we know that sum of all angles of quadrilateral be 360° .

➠ 7x + 8x + 9x + 12x = 360°

➠ 36x = 360°

➠ x = 360°/36

➠ x = 10°

Thus,

• 1st angle = 7x = (7 ×10)° = 70°
• 2nd angle = 8x =(8 × 10)° = 80°
• 3rd angle = 9x = (9 × 10)° = 90°
• 4th angle = 12x = (12 × 10)° = 120°

Answer 2

Answer:

Given :-

• Angles of Quardilateral is 7:8:9:12

To Find :-

Angles

Solution :-

Let the angles be x

Now,

As we know that sum of all sides in a Quadrilateral is 360⁰.

$\sf \: 7x + 8x + 9x + 12x = 360$

$\sf \: 15x + 21x = 360$

$\sf \: 36x = 360$

$\sf \: x = \dfrac{360}{36}$

$\sf \: x = 10$

Now,

Let's find angles

$\sf \: 7x = 7(10) = 70$

$\sf \: 8x = 8(10) = 80$

$\sf \: 9x = 9(10) = 90$

$\sf \: 12(10) = 120$