ABCD is a rhombus. Find 'x'?

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1 Answer
Nov 19, 2017

x=54

Explanation:

using the properties of the rhombus

the diagonals bisect the angles

the diagonals bisect each other at right angles

opposite sides are parallel

BD is a diagonal and bisects ADC

ADB=CDB=x

ABD=CDB=xalternate angles

the sum of the angles in the lower triangle=180

36+90+x=180

x=1803690=54