If the diagonal of rhombus is 40° to one of its side find the angles of the rhombus

Angles of a rhombus equal 360. Bisected adjacent angles are equal. Opposite angles are equal. Same side angles are supplementary

Step-by-step explanation:

One angle is 40, the adjacent bisected angle is also 40. Opposite angles are equal so the opposite angle is 80 degrees (the bisected angles are each 40).

Same side angles are supplementary (add up to 180 degrees) So the supplementary angle of the 80 degree angle is 100 degrees, and its opposite angle is also 100 degrees. The angles of a rhombus add up to 360 ... 80+80=100+100 = 360.