Question

the diagonals of rombus is equal to its side. find the angles of rombus​

Answer 1

Answer:

90 degrees may your day be beautiful

Answer 2

Step-by-step explanation:

HEY MATE ..

ANSWERABCD is a rhombus.⇒AC=BC ........(1)(given)

ANSWERABCD is a rhombus.⇒AC=BC ........(1)(given) BC=AB .....(2)(side of rhombus)

From eqns(1) and (2)AC=BC=AB⇒△ABC is equilateral triangle.So, ∠ABC=60 °

∠BCA=60 ° ..........(3)

..........(3)∠CAB=60 ° ..........(4)

..........(4)Similarly, in △ADC,AD=DC(sides of a rhombus)

..........(4)Similarly, in △ADC,AD=DC(sides of a rhombus) AD=BC

But BC=AC∴AD=AC∴AD=DC=AC∴DAC is an equilateral triangle.⇒∠CAD=60 ° ......(5)

⇒∠ADC=60 °

From eqns(3) and (6) we get∠BCA+∠DCA=60 °+60 ° =120 °

∴∠C=120 °

From eqns(4) and (5),∠CAB+∠CAD=60 °+60 ° =120 °

∴∠A=120 °

Hence the four angles of the Rhombus are 120 ° ,60 ° ,120 °,60 °