A diagonal and side of a rhombus are equal in length find the measure of angles ofthe rhombus
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Step-by-step explanation:
In triangle PQR
angle QPR+anglePRQ+anglePQR=180°
(sum of measure of all angle of a triangle is 180°)
=x+x+x=180°
=3x=180°
=x=60°
QPR=PRQ=PQR=60°
in rhombus opposite angle are congruent
PQR=PSR=60°
adjacent angle of rhombus are supplementary
SRQ=180-60
SRQ=120°
SRQ=SPQ(opposite angle of a rhombus are congruent)
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