m<1 = 90 and also given m<1 = 3y - 12
so
3y - 12 = 90
3y = 102
y = 34
Answer is the third option
34
Answer:
Step-by-step explanation:
In the rhombus, each part is divide in a quadrant, and each of them has an angle of 90°.
So, basically [tex]m \angle 1=90\°[/tex] and we know [tex]m\angle 1=3y-12[/tex]. Replacing the angle, we have
[tex]90=3y-12[/tex]
Now, we solve for [tex]y[/tex]
[tex]3y-12=90\\3y=90+12\\y=\frac{102}{3}\\ y=34[/tex]
Therefore, the right answer is the third choice, 34.