Question

what is the measure of angle 2? i already have my answer written down i just don’t know if it’s correct or not

Answer 1

First find the angle 1: Here two chords are intersecting. So, the angle 1 formed by two intersecting chords is:

`\begin{gathered} m\angle1=((105^(\circ)+85^(\circ)))/(2) \\ =(190^(\circ))/(2) \\ =95^(\circ) \end{gathered}`

Now the sum of angle 1 and angle 2 is 180 degrees.

So,

`\begin{gathered} m\angle1+m\angle2=180^(\circ) \\ 95^(\circ)+m\angle2=180^(\circ) \\ m\angle2=180^(\circ)-95^(\circ) \\ m\angle2=85^(\circ) \end{gathered}`

So, the measure of angle 2 is 85 degrees.