Question

What are mZR and MLS? Q 66° R S 66° P mZR lo

Answer 1

Given a cyclic quadrilateral PQRS:

As shown:

`\begin{gathered} m\angle Q=66 \\ m\angle P=66 \\ m\angle P+m\angle R=180 \\ m\angle Q+m\angle S=180 \end{gathered}`

so, as angle P = angle Q

`m\angle R=m\angle S=180-66=114`

So, the answer will be:

`\begin{gathered} m\angle R=114 \\ m\angle S=114 \end{gathered}`