Question

the four angles of a quadrilateral are in the ratio of 1:2:3:4 find the measures of each angle of the quadrilateral ​

Answer 1

Given, the four angles of a quadrilateral are in the ratio 1:2:3:4

Let the angles be x,2x,3x & 4x.

∴ x+2x+3x+4x=360

⇒10x=360

∴ x=36⁰

∴ angles are 36⁰,72⁰,108⁰,144⁰

Answer 2

Answer:

36°

72°

108°

144°

Step-by-step explanation:

Let the angles be 1x , 2x, 3x , 4x .

As the sum of all angles of a quadrilateral is 360°

then,

• 1x + 2x + 3x + 4x = 360°
• 10x = 360°
• x = 360°/10
• x = 36°

Hence the angles are,

• 1x = 1× 36° = 36°
• 2x = 2× 36° = 72°
• 3x = 3× 36° = 108°
• 4x = 4 × 36° = 144°