Here we are given a geometrical shape with the following inner and an arc angle as follows:
![The property to note here is from geometric properties of a circle.<p></p><p><strong>Property: The inner angle is always the mean of corresponding verticaly opposite arc angles.</strong></p><p>We can express the above property in lieu to the geometry question at hand. We see that the two arc angles:</p><p></p>[tex]\text{Arc CD = 55 degrees , Arc BG = ?}]()
Ther inner vertically opposite angle are:
The property can be expressed mathematically as follows:
Next plug in the respective values of angles and evaluate for the arc angle BG as follows:
Therefore the correct option is:
