please answer this ques . It is urgent.
from three to quadrilateral
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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°
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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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