Question

ABCD is a rhombus. What is the measure of ∠AMB?(1 point)Responses180 degrees180 degrees75 degrees75 degrees45 degrees45 degrees90 degrees

Answer 1

In a rhombus, the diagonals bisect each other at right angles (90 degrees) and also bisect the angles of the rhombus.

Let’s denote the intersection point of the diagonals AC and BD as M. Since diagonals of a rhombus bisect each other at right angles, we have:

- ∠AMC = 90 degrees
- ∠BMD = 90 degrees

If we're considering the angle ∠AMB, that would be one of the angles formed by two adjacent sides of the rhombus (let's say AM and BM). In a rhombus, each pair of adjacent angles is supplementary. Since the diagonals bisect the angles:

If we consider just the triangle AMB, we know that:
- ∠AMB + ∠A + ∠B = 180 degrees (in triangle AMB)

Since the angles of a rhombus are equal and supplementary, the measure of each angle in a rhombus is either 60 degrees or 120 degrees depending on the specific configuration of the rhombus.

However, if we required to find specifically ∠AMB, it would generally be 90 degrees because of the perpendicular intersection of the diagonals.

Thus, the answer is:

**90 degrees**.