Question

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

Answer 1

Step-by-step explanation:

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

We know that sum of measure of all four angles is 360o.

∴  x+2x+3x+4x=360o

⇒  10x=360o

⇒  x=36o

⇒  2x=2×36o=72o

⇒  3x=3×36o=108o

⇒  4x=4×36o=144o

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

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

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Answer 2

Answer:

36°,72°, 108°, 144°

Step-by-step explanation:

Let the angles be x,2x,3x and 4x respectively.

We know that, the sum of angles in a quadrilateral add upto 360°

=> x+2x+3x+4x= 360°

=>10x=360°

=>x=36°

=>2x= 2*36= 72°

=> 3x= 3*36=  108°

=>4x= 4*36= 144°