Pls help i dont want just answer pls explain

To find angle $RPG$, we need to use the information given about the arcs and the properties of angles related to them.

1. **Understanding the Arc Measures**:

- The measure of arc $FG$ is $118^\circ$.

- The measure of arc $FQ$ is $25^\circ$.

- It is given that $FR = FG$, so the measure of arc $FR$ is also $118^\circ$.

2. **Position of Points**:

- Points $F, G, R,$ and $Q$ are on a circle. The angles created by the arcs at any point are related to the measure of the arcs intercepted.

- Since $R$ is between $F$ and $G$, we must consider how the angles are formed.

3. **Finding Angle $RPG$**:

- Angle $RPG$ is the angle formed by the intersection of the lines $RP$ and $RG$.

- The measure of angle $RPG$ will equal half the difference of the measures of the arcs it intercepts. In this case, the relevant arcs are $FG$ and $FQ$.

Using the formula for the angle:

$$\text{Angle} = \frac{1}{2} \left| \text{Arc } FG - \text{Arc } FQ \right|$$

we can plug in the arc measures:

$$\text{Angle } RPG = \frac{1}{2} \left| 118^\circ - 25^\circ \right| = \frac{1}{2} \left| 93^\circ \right| = \frac{93^\circ}{2} = 46.5^\circ.$$

Thus, the measure of angle $RPG$ is $46.5$ degrees (if we need integer degrees, we might round depending on the context).

Therefore, the final answer is:
$$\boxed{46.5}$$

degrees.