Question

The angles of a quadrilateral are in the ratio 2: 3:3:4. What is the measure of
the greatest angle?

Answer 1

Answer:

olution

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Lettheanglesofquadrilateralbe2x,3x,4x,x

sumofallanglesofquadrilateral=360

∘

x+2x+3x+4x=360

∘

10x=360

∘

∴x=36

∘

thefouranglesare

x=36

∘

2x=2×36=72

∘

3x=3×36=108

∘

4x=4×36=144

∘

Hence,thesmallestangleis36

∘

andgreatestis144

∘

.

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Answer 2

Lettheanglesofquadrilateralbe2x,3x,4x,x
sumofallanglesofquadrilateral=360
∘

x+2x+3x+4x=360
∘

10x=360
∘

∴x=36
∘

thefouranglesare
x=36
∘

2x=2×36=72
∘

3x=3×36=108
∘

4x=4×36=144
∘

Hence,thesmallestangleis36
∘
andgreatestis144
∘
.
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