Question

Find the value of y showing your steps or explain your thinking.

Answer 1

The value of y is 7

Here, we are interested in finding the value of y

From the angle markings of the triangle, we can see that what we have is an isosceles triangle

In an isosceles triangle, the base angles are equal which in this case also makes the sides facing the angles equal

Thus, mathematically;

`\begin{gathered} 8(y+2)\text{ = 72} \\ \\ y\text{ + 2 = }(72)/(8) \\ \\ y\text{ + 2 = 9} \\ \\ y\text{ = 9-2} \\ \\ y\text{ = 7} \end{gathered}`