Question

one diagonal of a rhombus is equal to its side . find all the angles of the rhombus​

Answer 1

let ABCD is aRhombus in which AB = BC= CD =DA diagonal CA

In triangle BAC

BA=BC=CA therefore

angle BAC =ACD=ACB= 60 degree......... 1

similarly in triangle DAC, DA=DC =CA therefore

angle DAC =angle ACD=DAC =60 degree .......2

angle A = angle BAC+angle DAC +60+60=120 degree

angle B= angle ABC =60degree

angle C= angle ACB +angle ACD =60+60=120 degree

angle D=angle ADC =60degree