Given that . In , , , and in , . What is the measure of ?

Question Analysis:
This question involves using the properties of congruent triangles (CPCTC) and the triangle - angle - sum theorem.
The main focus is on first finding the value of

by equating corresponding angles and then using the angle - sum theorem to find

.

Key Concept Explanation:
CPCTC states that corresponding parts of congruent triangles are congruent.
Also, the sum of the interior angles of a triangle is

. We'll use these two concepts to solve the problem.

Step - by - Step Solution:
1. Since

(by CPCTC).
Set up the equation:

.
Subtract

from both sides:

, getting

.
Add 10 to both sides:

.
2. Find

and

:
Substitute

into

, we get

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