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 the property of rhombus diagonals

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

Step2: Analyze the angle formed by diagonals

Since \( \overline{RO} \) and \( \overline{HM} \) are diagonals of rhombus \( RHOM \), and they intersect at point \( S \). The angle between the diagonals of a rhombus is \( 90^{\circ}\). So, \( \angle MSR = 90^{\circ}\)

Answer:

It must be a right angle.