Question

one of the diagonals of a rhombus is congruent to one of its sides. find angles of it.

Answer 1

All the sides of a rhombus are equal. So if one diagonal is equal to one side, we have 2 equilateral triangles with a common base. Hence all the angles of the 2 triangles are 60 degrees each. Thus one pair of opposite angles of the rhombus is 60 degrees and the other pair 120 degrees.

Answer 2

Answer:

We know that all the angles of a rhombus are equal So, if one diagonal is equal to one side, we have 2 equilateral triangles with common base. Hence all the angles of the two triangles are 60 degrees each. This one pair of opposite angles of the Rhombus is 60 degrees and the other pair is 120 degrees.