Answer:
72°
Step-by-step explanation:
Adjacent angles of a rhombus are supplementary, so
- (5x-2)+(3x+6)=180
- 8x+4=180 [combine like terms]
- 8x=176 [subtract 4 from both sides]
- x=22 [divide both sides by 8]
Since opposite angles of a parallelogram are congruent, angle BCD is congruent to angle BAD.
The measure of angle BAD is 3(22)+6 = 72°
