https://file.aiquickdraw.com/mathbot/file/1726835516308yv112g5v.jpg

In this problem, we need to find the value of \( y \) based on the given angles and relationships in the figure.

### Given Information:
- \( \angle AOD = 90^\circ \) 
- \( \angle BOE = 72^\circ \)
- \( \angle COE = 3x \)
- \( \angle AOC = x \)

### Step-by-Step Approach:
1. **Linear Pair of Angles**:
   Since \( \angle AOD = 90^\circ \) and \( \angle AOC = x \), the total sum of angles around point \( O \) on a straight line is \( 180^\circ \). So, we can write:
   \[
   \angle AOD = \angle AOC + \angle COD = 90^\circ
   \]
   Therefore,
   \[
   x + 90^\circ = 180^\circ
   \]
   Simplifying this:
   \[
   x = 90^\circ
   \]

2. **Angle at Point

दी गई आकृति में, y का मान ज्ञात कीजिए।

Learn how to find the value of angle y in the given geometry problem using the Linear Pair Theorem. The problem involves calculating angles on straight lines, including a 90° angle and supplementary angles, suitable for students in Grade 8.

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