Answer:
arc BG= 14°
Explanation:
It is given in the figure that mJS = 46∘ and m∠BMG = 30∘.
If two chords intersect in the interior of a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs. So,
m∠BMG = 12 (mJS +mBG)
Substitute the given values and solve for mBG.
30∘ = 12 (46∘ + mBG)
Multiply by 2.
60∘ = (46∘ + mBG)
Subtract 46∘.
14∘ = mBG
Therefore, mBG = 14∘.