In rhombus ABCD, angle D = 140 degrees, point O is the intersection point of the diag.

| August 2, 2021 | education

In rhombus ABCD, angle D = 140 degrees, point O is the intersection point of the diag. A Bottom Vertex Define Angles in AOD

The diagonals in the rhombus give us four equal right-angled triangles. Considering the triangle AOD, we find that the angle O is a straight line and is equal to 90 °. The diagonals in the rhombus are the bisectors of its catch, which means that the angle ADO = 1/2 * 140 ° = 70 °. Angle OAD = 90 ° – 70 ° = 20 °.
It was possible to find an acute angle of the rhombus, the angle O = 180 ° – 140 ° = 40 °. Based on the fact that the diagonals are bisectors, we find that the acute angles in the right-angled triangle AOD will be equal to 70 ° and 20 °.
Answer: the degree measure of the angles in the AOD triangle is 20 °, 70 °, 90 °.



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