Equilateral and Isosceles Triangles

y = 16

Step-by-step explanation:

The first step in solving this equation is finding the value of the unnamed angle. Because this is an isosceles triangle, it must be 65 degrees because it is at the end of the other congruent side.

The total value of the angles of any triangle is 180 degrees, so if you add all the angles, you'll get 180:

65 + 65 + (3y + 2) = 180

Now, you can simplify and isolate y to solve the equation for y:

65 + 65 + (3y + 2) = 180

= 130 + 3y + 2 = 180

= 3y = 48

= y = 16