Question

figure rhom is a rhombus. ro and 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 ∠msr? it must be acute. it must be a right angle. it must be equal to ∠mrh. it must be equal to ∠rms.

Explanation:

Step1: Recall properties of rhombus diagonals

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

Step2: Identify the angle formed by diagonals

Since \( \overline{RO} \) and \( \overline{HM} \) are diagonals of rhombus \( RHOM \) and \( \angle MSR \) is the angle between them.
By the property that rhombus diagonals are perpendicular, \( \angle MSR = 90^{\circ}\), so it must be a right angle.

Answer:

It must be a right angle.