The angles of a quadrilateral taken in order are 2x, 3x, 7x,8x. Find x and prove that two opposite sides are parallel..
NOTE ---
IT IS GIVEN NO WHERE THAT IT IS A RHOMBUS
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Answers
Answer:
2x+3x+7x+8x=360
20x=360
x=18
in the pic look how to prove two opp.. sides are ll and elaborate a bit
Given : The angles of a quadrilateral taken in order are 2x, 3x, 7x, 8x.
To Find: x and prove that two opposite sides are parallel.
Solution:
Sum of all the angles on a quadrilateral is 360°
Hence 2x + 3x + 7x + 8x = 20x = 360°
=> x= 18°
angles are 36° , 54° , 126° , 144°
54° + 126° = 180°
These are adjacent angle
Hence one pair of opposite sides is parallel
as co interior angles are supplementary
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