Respuesta :

Solution with steps :

Given :

  • △AFB≅△DEC

Since triangle AFB is congruent to triangle DEC their corresponding parts will be equal.

Which means :

  • m∠AFB = 37°
  • m∠ABF = 90°

Sum of all angles of a triangle = 180°

Measure of ∠CDE :

[tex] = \tt180 - 37 + 90[/tex]

[tex] = \tt180 - 127[/tex]

[tex] = \tt53[/tex]

  • Thus, the measure of angle CDE = 53°
  • Then, the measure of angle BAF = 53°

Therefore, m∠A = 53°

My answer :

[tex]\hookrightarrow\boxed{\color{plum}\bold {\tt \: \bold{m∠A = 53°}}}[/tex]