🧠 Geometry Puzzle: Find the Value of ∠θ , Angle At Intersector of Diagonal - Amiya Sir Took 2 min

This looks like a tough problem at first glance, but once you spot the use of the angle bisector theorem, it becomes a 30-second delight!

🔍 Problem Diagram & Question

In the parallelogram \(ABCD\), diagonals intersect at point \(O\). The angles are marked as shown:

Given:

• \(\angle DAB = 36^\circ\)
• \(\angle BAD = 72^\circ\)
• \(\angle BCD = 56^\circ\)
• \(\angle DCB = 68^\circ\)
• You are to find: \(\angle \theta\) at the center where diagonals intersect.

📌 Takeaway

Whenever you see an external angle and a segment dividing it, always check if it's an angle bisector—especially in parallelograms or triangles. It might just lead you to a hidden shortcut! ✅