Question

measure of the angels of a quadrilateral
taken in order are in the ration : 1:2:3:4. Prove
that it is trapezium​

Answer 1

Step-by-step explanation:

1x+2x+3x+4x=360

10x=360

x=36

1x=36

2x=72

3x=108

4x=144

the angles are not equal and if the sum of 2 and 3 angle is 180 then we can say is a trapezium

Answer 2

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➥Let's assume the angles as

x°, 2x°, 3x° & 4x°

We know,

Sum of all ∠s of Trapezium = 360°

According to Question,

x + 2x + 3x + 4x = 360

⇒ 10x = 360

⇒ x = 360 / 10

⇒ x = 36

Required ∠s »

x° = 36°

2x° = 2(36)° = 72°

3x° = 3(36)° = 108°

4x° = 4(36)° = 144°

∵ 36° + 72° + 108° + 144° = 360

Since, the sum of ∠s of Trapezium is 360°

Hence, it is a Trapezium.

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