Math will give !
this figure shows circle a with inscribed ∠rsq .

m∠rsq=24°

what is the measure of rsq?

For a better understanding of the solution and the explanation given here please go through the diagram in the file attached.

By definition, measure of an arc is the angle subtended by the arc at the centre of the circle. Thus, the measure of the arc is the measure of the (in red) which the arc subtends at the center.

Now, in order to find the measure of the (in red) we will have to use the information given in the question. We have been told that . Now, we know that the double angle theorem says that, the angle subtended at the centre of a circle is double the size of the angle subtended at the circumference from the same two points. Therefore, applying this theorem we get:

Thus if (in red)=, then (in green) will be equal to measure of the arc . Now, (in green) will obviously be:

(in green)= (in red)

(in green)=

(in green)=

Thus, the measure of arc =