EXERCISE 8.1
1. The angles of quadrilateral are in the ratio 3:59:13. Find all the angles of the
quadrilateral
nale
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Answer:
⇒ 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
o
⇒ 2x=2×36
o
=72
o
⇒ 3x=3×36
o
=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
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