Question

diagrams are not drawn to scale. find y. all i care about is the answers & the steps you did to find the answer.

Answer 1

Answer:

The value of y is;

$y=65^{\circ}$

Explanation:

Let x represent the angle formed by the two secants supplementary to angle y.

Recall that the angle formed by two intercepting secants is equal to half the sum of the intercepted arcs.

$\begin{gathered} x=\frac{1}{2}(170+60) \\ x=\frac{1}{2}(230) \\ x=115^{\circ} \end{gathered}$

Since x is supplementary to y then;

$\begin{gathered} x+y=180^{\circ} \\ y=180^{\circ}-x \\ y=180^{\circ}-115^{\circ} \\ y=65^{\circ} \end{gathered}$

Therefore, the value of y is;

$y=65^{\circ}$