Question

question for genius rank​

Answer 1

Explanation:

❍ Given :

• Ratio of the angles of a quadrilateral is 3:5:9:13

❍ To Find :

• Angles of the quadrilateral

❍ Solution :

★ Let the angles be 3x, 5x, 9x and 13x.

Sum of all the angles of a quadrilateral is 360°.

➠ 3x + 5x + 9x + 13x = 360°

➠ 30x = 360°

➠ x = 360/30

➠ x = 12

Value of x is 12.

❒ The angles are :

◘ 3x = 3 × 12 = 36°

◘ 5x = 5 × 12 = 60°

◘ 9x = 9 × 12 = 108°

◘ 13x = 13 × 12 = 156°

∴ The angles of a quadrilateral are 36°, 60°, 108° and 156°.

❍ Verification :

⇛ 36° + 60°+ 108° + 156° = 360°

⇛ 360° = 360°

Hence, Verified.

Answer 2

Answer:

ratio of all the angles = 3 : 5 : 9 : 13

sum of all angles of a quadrilateral = 360°

let first angel = 3x

let second angle = 5x

let third angle = 9x

let fourth angle = 13x

3x + 5x + 9x + 13x = 360°

30x = 360°

X = 360°/ 30

X = 12°

first angle = 3 × 12 = 36°

second angle = 5 × 12 = 60°

third angle = 9 × 12 = 108°

fourth angle = 13 × 12 = 156°

hopes it will help you