Answer: m∠A = 106°
Explanation: Congruent Quadrilaterals are defined as a quadrilateral with equal corresponding sides and corresponding angles have the same value.
The figure below shows the two quadrilaterals and its corresponding angles.
As it is observed, m∠T corresponds to m∠K, which means they have the same value.
The sum of internal angles of a quadrilateral is 360°.
m∠A will be:
x + 60 +152 + 42 = 360
x = 360 - 254
x = 106
Angle m∠A at quadrilateral HALK measures 106°.