Respuesta :

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:

y = 34.

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.