Question

Find the values of x and y in the diagram. We’re doing Exercise number 14 I know how to solve for y . I was just confused on how to get x. I do have the correct answers for both I just need help with someone showing me how to solve for x in this case.

Answer 1

To answer this question we will use the following diagram as reference:

Recall that the interior angles of an equilateral triangle measure 60 degrees each.

Now, notice that angles A and B form a linear pair, meaning that:

`\angle A+\angle B=180^(\circ).`

Substituting ∠A=60°, ∠B=8x° in the above equation we get:

`60^(\circ)+8x^(\circ)=180^(\circ).`

Solving the above equation for x, we get:

`\begin{gathered} 60+8x=180, \\ 8x=180-60=120, \\ x=(120)/(8), \\ x=15. \end{gathered}`