△ABC is congruent to △DEF, written as △ABC ≅ △DEF. If ∠A = 4...

Question Analysis:
This question combines the concept of CPCTC with solving an algebraic equation for an angle measure.
The main focus is on using the fact that corresponding angles of congruent triangles are equal to find the value of

, and then determine the measure of the given angle.

Key Concept Explanation:
According to CPCTC, when two triangles are congruent, corresponding angles are equal.
So, if △ABC ≅ △DEF, then ∠A = ∠D.

Step - by - Step Solution:
1. Since ∠A = ∠D (by CPCTC), we set up the equation:
-

.
2. Solve for

:
- Subtract

from both sides:

.
- This simplifies to

.
- Add 20 to both sides:

.
- We get

.
- Divide both sides by 2:

, so

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