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QUESTION IMAGE

figure rhom is a rhombus. (overline{ro}) and (overline{hm}) are the dia…

Question

figure rhom is a rhombus. (overline{ro}) and (overline{hm}) are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: hom, mhr, rho, and omr. what is true about (angle msr)? it must be acute. it must be a right angle. it must be equal to (angle mrh). it must be equal to (angle rms).

Explanation:

Step1: Recall the property of rhombus diagonals

In a rhombus, the diagonals are perpendicular to each other.

Step2: Analyze the angle \(\angle MSR\)

Since the diagonals \(RO\) and \(HM\) are perpendicular, \(\angle MSR = 90^{\circ}\)

Answer:

It must be a right angle.