Answer: 12
The value of y= 12.
Explanation:
We know that the diagonal of rhombus are perpendicular bisector of each other.
i.e. the angle made at the intersection of diagonal is 90 degrees.
Thus , for the given figure m∠1 = 90°
Since it is given that m∠1 = 8y-6
Thus , 8y-6= 90
⇒8y=96 [Adding 6 both sides]
⇒ y = 12 [Dividing both sides by 8]
Hence, the value of y= 12.