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Solve example1)An obtuse angle of a rhombus is greater than twice at acute angles by 30 find the measure of each angel Step by step Thanks

Answer»

Opposite angles of rhombus are equal.
so LET acute ANGLE be x then obtuse angle would be 2x +30 then by angle sum property of quadrilateral
x+2x+30 +x+2x+30 = 360°
6x +60=360
6x = 360-60 = 300
x = 300/6
x= 50
now obtuse angle= 2x +30 = 2*50 +30
=> 100+30=130
Acute angle =60
Obtuse angle= 130
Since opposite angles are equal therefore all 4 angles are
60,130,60,130
hope it HELPS.
If it helps mark it brainliest. Thanks



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