In the DTMP rhombus, the angle D = 80 degrees. Find the angle of the triangle DOT

In the DTMP rhombus, the angle D = 80 degrees. Find the angle of the triangle DOT, where the point O of the intersection of the diagonals of the rhombus

Point O is the intersection point of the diagonals. Diagonals in a rhombus intersect at right angles. Hence, the angle DOT = 90 °.

The diagonals of the rhombus are also the bisectors of the angles.

Consider the rest of the angles of the triangle TOD. The DTO angle is half of the TDP angle. And the angle TDP = 80 ° according to the condition of the problem.

80 °: 2 = 40 °. The angle DTO is: 180 ° – (90 ° + 40 °) = 50 °.