Question

19) The largest angle of a triangle is twice the sum of the other two. The smallest is one fifth of the largest, Determine all the angles in degrees.
solve in equation in two variable
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Answer 1

Step-by-step explanation:

Assume largest angle=x

Then smallest angle=x/5

Assume third angle=y

It is given in the question that

X=X/5+Y

5X=X+5Y

4X-5Y=0

4X=5Y

therefore

Y=4X/5

sum of three angles of a triangle is 180 degree

6x+5*4*/5=180

10X=900

x=90(largest angle)

18(smallest angle)

62(third angle)