### Given:
Assertion (A): $\triangle ABC \sim \triangle PQR$, and given angles:
$ \angle A = 65^\circ, \quad \angle C = 60^\circ $
We need to determine whether $\angle Q = 55^\circ$.
### Step 1: Find $\angle B$
Since the sum of the angles in a triangle is $180^\circ$:
$ \angle B = 180^\circ - (\angle A + \angle C) $
$ = 180^\circ - (65^\circ + 60^\circ) $
$ = 180^\circ - 125^\circ $
$ = 55^\circ $
### Step 2: Find $\angle Q$
Since $\triangle ABC \sim \triangle PQR$, their corresponding angles are equal:
$ \angle A = \angle P, \quad \angle B = \angle Q, \quad \angle C = \angle R $
Thus, $\angle Q = \angle B = 55^\circ$, which verifies the assertion.
### Step 3: Verify the Reason
The reason states that the sum of all angles in a triangle is $180^\circ$, which is a fundamental property of triangles.
### Conclusion:- Assertion (A) is true.
- Reason (R) is true.
- Reason (R) correctly explains Assertion (A).
### Final Answer: Assertion (A) is true, and Reason (R) is the correct explanation of (A).