Question by Lê Quốc Trần Anh - Discuss with MathYouLike

Lê Quốc Trần Anh Coordinator

05/01/2018 at 17:52

The largest angle of a quadrilateral is four times its smallest angle. Another angle is 10 degrees more than twice the smallest. The fourth angle is 60 degrees less than 3 times the smallest. What is the measure of the largest angle?

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FA Liên Quân Garena 10/01/2018 at 22:24

Let a be the smallest angle in degree, then the largest angle is 4a, the third angle is 2a + 10, the fourth angle is 3a - 60. We have :

a+4a+2a+10+3a−60=360⇔10a=410⇔a=41⇔4a=164

So, the answer is 1640
Phan Thanh Tinh Coordinator 09/01/2018 at 19:19

Let a be the smallest angle in degree, then the largest angle is 4a, the third angle is 2a + 10, the fourth angle is 3a - 60. We have :

\(a+4a+2a+10+3a-60=360\Leftrightarrow10a=410\Leftrightarrow a=41\Leftrightarrow4a=164\)

So, the answer is 164⁰

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