Question

GEOMETRY!!! PLS HELPP!!
Quadrilateral ABCD is a rhombus.

Answer 1

72°

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°