Question

A quadrilateral has angles in the ratio 1:2:3 and a fourth angle is 31
degrees larger than the smallest angle. Find the sum of second
smallest and second largest angle?​

Answer 1

Step-by-step explanation:

Sum of all angles of quadrilateral is =360°

Now we are the ratios and join x with it like this

(1+2+3)x + 31°[given]= 360°

6x+31°=360°

6x=360-31

6x=329°

x=329/6

x=54.8333333.......

Now, First angle=54.8333333....

Second angle=54.83333333*2 =109.666667

And that's how you have to do this

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