Question

b. draw another angle that measures 45 degrees. it should have the same vertex and share side \\(\overline{df}\\).
c. how many angles are there in the figure you drew? what are their measures?

Explanation:

From part B, we have two angles with measure \(45^\circ\) (let's say \(\angle FDG\) and the original \(45^\circ\) angle, maybe \(\angle FDH\) or similar) and one angle formed by combining them (if they are adjacent) which would be \(45^\circ + 45^\circ=90^\circ\). So we count the angles: the two smaller \(45^\circ\) angles and the larger \(90^\circ\) angle.

Answer:

There are 3 angles. Two of them measure \(45^\circ\) and one measures \(90^\circ\) (assuming the two \(45^\circ\) angles are adjacent and form a right angle when combined).