Question

Figure RHOM is a rhombus. Line segment R O and Line segment H M 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.
Rhombus R H O M has all equal side lengths. Lines are drawn from each point to point S at the center.

What is true about AngleMSR?

It must be acute.
It must be a right angle.
It must be equal to AngleMRH.
It must be equal to AngleRMS.

Answer 1

Since the Rhombus have all equal side lengths, then the true statement about Angle MSR is that It must be a right angle.

What is the rhombus about?

Note that  RO and HM are said to be diagonals of the rhombus and they also intersects each other.

Since ∠MSR +∠RSH =180°  

Then, ∠MSR +∠MSR=180°          

So  ∠MSR =90°

So therefore, ∠MSR is said to be a right angle.

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