find all angles of rhombus in which one of the diagonals is equal to its side
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Let ABCD is a rhombus in which AB=BC=CD=DA=diagonal CA.
Let ABCD is a rhombus in which AB=BC=CD=DA=diagonal CA.In triangle BACBA=BC=CA , thereforeangle BAC=angle ABC= angle ACB =60°
(1)Similarly in triangle DAC , DA=DC=CA , thereforeAngle DAC=angle ACD=angle ADC=60°
(2)From eqn. (1) and (2)Angle A=angle BAC+angle DAC=60°+60°=120°Angle B= angle ABC = 60°.Angle C=angle ACB+angle ACD=60°+60°=120°Angle D =angle ADC=60°
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