Solution with steps :
Given :
Since triangle AFB is congruent to triangle DEC their corresponding parts will be equal.
Which means :
Sum of all angles of a triangle = 180°
Measure of ∠CDE :
![= \tt180 - 37 + 90](https://img.qammunity.org/2022/formulas/mathematics/college/gp1aot34uclpckv8kvwma4zz29hrge4l95.png)
![= \tt180 - 127](https://img.qammunity.org/2022/formulas/mathematics/college/5lnwz9j4p2yr0q0905edox7gaz5smeh7pk.png)
![= \tt53](https://img.qammunity.org/2022/formulas/mathematics/college/oj615tompu1pdk4ryta9pz4djs62x19ymf.png)
- Thus, the measure of angle CDE = 53°
- Then, the measure of angle BAF = 53°
Therefore, m∠A = 53°
My answer :
![\hookrightarrow\boxed{\color{plum}\bold {\tt \: \bold{m∠A = 53°}}}](https://img.qammunity.org/2022/formulas/mathematics/college/y5wkk2agt17ofpqr7u0b7o18zdylmuox69.png)