Lines `P Q` and `R S` intersect each other at point `Odot` If `/_P O R:/_R O Q=5:7,` find all the angles.

Explanation

To solve the problem step by step, we will follow the reasoning laid out in the video transcript.

### Step-by-Step Solution:

1. **Understand the Problem**:
We have two lines, PQ and RS, that intersect at point O. We are given the ratio of angles \( \angle POR \) to \( \angle ROQ \) as \( 5:7 \).

2. **Assign Variables to Angles**:
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