Question

abcd is a rhombus in which angle bad =64°
Find angle ACD and angle CBD​

Answer 1

Answer:

1. opposite angles are congruent because a rhombus is a parallelogram, not necessarily because all sides are equal.

2. adjacent angles are supplementary

3. the diagonals of a rhombus bisect the angles because the sides are all congruent as they are in a square.

Therefore angle BCD=180-64=116 degrees, angle ADB=(1/2)64=32 degrees, and angle BAC=(1/2)116=58 degrees.