Answer/Step-by-step explanation:
✔️Diagonals of a rhombus bisect each other at 90°.
Therefore,
m<1 = 90°
✔️Since opposite sides of a parallelogram are parallel, therefore:
m<2 = 53° (alternate angles)
✔️Diagonals bisect each angle of a parallelogram, therefore,
m<3 = m<2
m<3 = 53°
✔️m<4 + m<3 + 90° = 180°(sum of triangle)
m<4 + 53° + 90° = 180° (substitute)
m<4 = 180 - 143
m<4 = 37°