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To find the size of angle \( q \) in the quadrilateral, we need to use the property that the sum of all interior angles in a quadrilateral is \(360^\circ\).

The given quadrilateral has four angles: \(47^\circ\), \(24^\circ\), \(235^\circ\), and \(q\).

Let's set up the equation for the sum of the angles:
\[
47^\circ + 24^\circ + 235^\circ + q = 360^\circ
\]

Now, let's solve for \(q\):

\[
q = 360^\circ - (47^\circ + 24^\circ + 235^\circ)
\]

\[
q = 360^\circ - 306^\circ
\]

\[
q = 54^\circ
\]

So, the size of angle \(q\) is **54 degrees**.

Would you like a more detailed explanation or have any questions?

### Related Questions:
1. What is the sum of interior angles in other polygons?
2. How do we find an unknown angle in a triangle using known angles?
3. Can the properties of quadrilaterals help in finding side lengths as well?
4. What are the different types of quadrilaterals, and how do their properties differ?
5. How does the angle sum property change in a convex vs. concave polygon?

### Tip:
Remember, for any \(n\)-sided polygon, the sum of the interior angles is given by \((n-2) \times 180^\circ\).

Work out the size of angle q in the quadrilateral where other given angles are 47°, 24°, and 235°.

Learn how to find the unknown angle in a quadrilateral using the angle sum property. The given angles are 47°, 24°, and 235°, and we use the sum of angles in a quadrilateral to solve for q. This problem is suitable for students in Grades 6-8.

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