Question

Can someone please help me with this?

Answer 1

The angle formed by two tangles results in half of the difference of the two arcs. 

That is to say 

70 = .5(Major arc - minor arc)

Think of the major arc as the larger and the minor the smaller.

So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.

140 = major arc - minor arc.

Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.

140 = major arc - x 
360 = major arc + x

Use linear combination and add these equations to get

500 = 2*major arc

major arc = 250
minor arc or x = 110.

The answer is 110 degrees.