Math, asked by vanit8590, 3 months ago

please answer this ques . It is urgent.

from three to quadrilateral​

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Answered by kalashyam
0

let angles is x, 2x, 3x and 4th angle is y

sum of all angles of a quadrilateral is 360°

then

x+2x +3x +y =360

6 x +y = 360 ....... (1)

now according to question

x+ y = 180 ...... (2)

Subtract equ. 2 from equ. 1

6x + y =360

x+ y = 180

- - = -

.................

5x = 180

x = 36 now y= 144°

now second angle = 2*36 = 72°

third angle = 3*36 = 108°

Answered by aaronxie2009
2

Answer:

The angles are 36˚, 72˚, 108˚, 144˚.

Step-by-step explanation:

First, we add up all the ratios.

1 + 2 + 3 + 4 = 10

Then, we divide it by the full angle of the quadrilateral.

360 / 10 = 36

Now, we multiply 36 by each seperate number in the ratio.

1 * 36 = 36˚

2 * 36 = 72˚

3 * 36 = 108˚

4 * 36 = 144˚

We have to make sure that the smallest number + the biggest number = 180˚.

36 + 144 = 180˚

Hope this helps!

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