the angle of a quadrilateral are in the ratio 3/4:0.8:1/4:1.2. find the angles
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⇒ Let the measure of angles be x,2x,3x and 4x.
We know that sum of measure of all four angles is 360
o
.
∴ x+2x+3x+4x=360
o
⇒ 10x=360
o
⇒ x=36
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⇒ 2x=2×36
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=72
o
⇒ 3x=3×36
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=108
o
⇒ 4x=4×36
o
=144
o
⇒ The measures of angles of quadrilateral are 36
o
,72
o
,108
o
and 144
o
.
⇒ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.
Step-by-step explanation:
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