Question

Please help me find the answers to x and y. I believe x is 68 but don’t know or don’t remember how to find y

Answer 1

Given the circle, you can identify that "x" is an angle formed by a Tangent and a Chord that are intersecting. You can also identify that "y" is the Intersecting Arc.

Therefore, in order to find "x", you need to find "y" first, because, by definition, the measure of the angle formed by the intersection of a Tangent and a Chord can be calculated by dividing the Intersecting Arc by 2.

By definition, a circle has 360 degrees. Therefore, you can determine that:

`y=360\text{\degree}-224\text{\degree}`
`y=136\text{\degree}`

Knowing "y", you can determine that:

`x=\frac{136\text{\degree}}{2}`
`x=68\text{\degree}`

Hence, the answer is:

`\begin{gathered} x=68\text{\degree} \\ \\ y=136\text{\degree} \end{gathered}`