Question

The angle of a quadrilateral are in ratio 1:2:3:4 find the measure of each angle​

Answer 1

Answer:

1 = 36°

2 = 72°

3 = 108°

4 = 144°

Step-by-step explanation:

Sum of all angles of a quadrilateral = 360°

let ratio = x,2x,3x,4x

Therefore:

x+2x+3x+4x = 360°

10x = 360°

x = 36°

Therefore the angles are,

• 36°
• 72°
• 108°
• 144°

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Answer 2

Answer: Let the measure of angles be x,2x,3x and 4x.

We know that sum of measure of all four angles is 360  o  . ∴  x+2x+3x+4x=360  o

 ⇒  10x=360  o

 ⇒  x=36  o

 ⇒  2x=2×36  o  =72  o   ⇒  3x=3×36  o  =108  o   ⇒  4x=4×36  o  =144  o

 

⇒  The measures of angles of quadrilateral are 36  o  ,72  o  ,108  o and 144  o .

⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.

Step-by-step explanation: