Question

One angle of a quadrilateral is 108degree the other three angles are in the ratio 3:4:5.Find these angels

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Answer 1

solution:-

Given, one angle is 108o and remaining three angles are equal.

Let the remaining angles be xo,yo,zo.

Since they are equal, xo+yo+zo= xo+xo+xo=3xo.

Then, 108o+xo+yo+zo=360o

⇒ 108o+3xo=360o

⇒ 360o−108o=3x∘

⇒ 252o=3x∘

⇒ xo=3252o=84∘.

Therefore, each of the three remaining angle is xo=84o.

Hence, option C is correct.