Question

which of the following options could be used as a name for this angle? select two correct answers. ∠y, ∠yhr, ∠rhy, ∠ryh, ∠r, ∠yrh

Explanation:

Step1: Recall angle naming rules

An angle can be named by its vertex (if unique) or by three points (with vertex in the middle). The vertex here is \( R \), and the sides are \( RH \) and \( RY \).

Step2: Analyze each option

• \( \angle Y \): Vertex is \( Y \), not the angle's vertex (\( R \)), so incorrect.
• \( \angle YHR \): Vertex is \( H \), incorrect.
• \( \angle RHY \): Vertex is \( H \), incorrect.
• \( \angle RYH \): Vertex is \( Y \), incorrect.
• \( \angle R \): Named by vertex (unique here), correct.
• \( \angle YRH \): Three - point name with vertex \( R \) (middle), correct.

Answer:

\( \angle R \), \( \angle YRH \)