Question

which equation can be used to find the measure of \\(\overarc{ehg}\\)?\\(m\overarc{ehg} + 80 + 35 = 180\\)\\(m\overarc{ehg} - 80 - 35 = 180\\)\\(m\overarc{ehg} - 80 - 35 = 360\\)\\(m\overarc{ehg} + 80 + 35 = 360\\)

Explanation:

Step1: Recall circle angle sum

The total degrees around a point (center of circle) is \(360^\circ\). The arcs (or central angles) \(\widehat{EHG}\), \(80^\circ\), and \(35^\circ\) should sum to \(360^\circ\).

Step2: Form the equation

So, \(m\widehat{EHG} + 80 + 35 = 360\).

Answer:

\(m\widehat{EHG} + 80 + 35 = 360\) (the last option: \(m\widehat{EHG}+80 + 35 = 360\))