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In the given quadrilateral, we need to find the size of angle \( d \).

### Step-by-step solution:

1. **Sum of interior angles in a quadrilateral:**
   The sum of the interior angles in any quadrilateral is always \( 360^\circ \).

2. **Known angles:**
   - \( 245^\circ \) (interior angle)
   - \( 37^\circ \) (interior angle)
   - \( 22^\circ \) (interior angle)

3. **Apply the angle sum property:**
   To find \( d \), we can use the formula:
   \[
   \text{Sum of angles in quadrilateral} = 360^\circ
   \]
   Therefore:
   \[
   d + 245^\circ + 37^\circ + 22^\circ = 360^\circ
   \]
   
4. **Simplify and solve for \( d \):**
   Add the known angles:
   \[
   245^\circ + 37^\circ + 22^\circ = 304^\circ
   \]
   Now solve for \( d \):
   \[
   d = 360^\circ - 304^\circ = 56^\circ
   \]

So, the size of angle \( d \) is \( 56^\circ \).

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Would you like further clarification or details? Here are some related questions:

1. How do we calculate the sum of interior angles for polygons?
2. Why is the angle sum for a quadrilateral always \( 360^\circ \)?
3. Can a quadrilateral have an interior angle greater than \( 180^\circ \)?
4. How do exterior angles relate to interior angles in polygons?
5. What is the difference between convex and concave quadrilaterals?

**Tip:** When dealing with any polygon, remember that the sum of its interior angles depends on the number of sides, and for quadrilaterals, it's always \( 360^\circ \).

Work out the size of angle d in the quadrilateral below with angles 245°, 37°, and 22°.

Learn how to calculate the missing angle in a quadrilateral using the angle sum property. This problem provides a step-by-step solution to finding the angle when three angles are given: 245°, 37°, and 22°. Suitable for students in Grades 6-8.

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