Question

Q23. The four angles of a quadrilateral are in the ratio 1:2:3:4. Find the angles.​

Answer 1

Answer:

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⇒  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.

I hope this helps you

Answer 2

Step-by-step explanation:

1x +2x+3x+4 x= 360⁰ (angle sum property of quardilaterel )

10x = 360⁰

x = 360/10

= 36

1x =36×1 = 36⁰

2x= 36×2 = 72⁰

3x = 36× 3= 108⁰

4x=36×4 = 144⁰

36:72:108:144 (1:2:3:4)