Question

I need help finding the answer to this problem. Options:A. 65B. 86C. 58D. 130

Answer 1

So we have two chords intersecting each other. One of the angles in this intersection is equal to 86°. It's also important to note there are another two chords of equal measure that define a and c respectively. This means that arcs a and c have the same measure. What's more, these two arcs are related since they are also defined by the chords that made the 86° angle and the relation between them and this angle is:

`86^(\circ)=(a+c)/(2)`

If we use the fact that a=c we get:

`86^(\circ)=(a+c)/(2)=(a+a)/(2)=(2a)/(2)=a`

Then the value of a is 86° and the answer is option B.