1. The problem involves finding unknown angles labeled $q$, $r$, $t$, $V$, $g$, and $h$ in various triangles and intersecting lines. 2. For triangles, the sum of interior angles is always $180^\circ$. For intersecting lines, vertically opposite angles are equal. 3. First triangle (top-left): angles are $33^\circ$, $98^\circ$, and $q$. Using the triangle sum rule: $$33^\circ + 98^\circ + q = 180^\circ$$ $$q = 180^\circ - 33^\circ - 98^\circ = 49^\circ$$ 4. Second triangle (top-left): angles are $44^\circ$, $r$, and the third angle (not given). Since no third angle is given, assume the triangle sum rule: $$44^\circ + r + \text{third angle} = 180^\circ$$ Without the third angle, $r$ cannot be determined from given data. 5. Center intersecting lines: angles $34^\circ$ and $74^\circ$ are given, with unknowns $t$ and $V$. Vertically opposite angles are equal, and adjacent angles on a straight line sum to $180^\circ$. If $t$ is vertically opposite to $34^\circ$, then: $$t = 34^\circ$$ If $V$ is adjacent to $74^\circ$, then: $$V = 180^\circ - 74^\circ = 106^\circ$$ 6. Bottom-left intersecting triangles with angles $22^\circ$, $143^\circ$, and unknowns $g$ and $h$. Since $143^\circ$ is an exterior angle, the interior opposite angles sum to it: $$g + h = 143^\circ$$ Also, since $g$ and $h$ are angles in a triangle with $22^\circ$: $$22^\circ + g + h = 180^\circ$$ Substitute $g + h = 143^\circ$: $$22^\circ + 143^\circ = 180^\circ$$ This confirms the relationship. Without additional information, $g$ and $h$ cannot be individually determined. Final answers: $$q = 49^\circ$$ $$t = 34^\circ$$ $$V = 106^\circ$$ $$r, g, h \text{ cannot be determined with given data}$$