https://file.aiquickdraw.com/mathbot/file/1730163030416avddju28.jpg

To find the measure of the unknown angle in a quadrilateral, we need to use the property that the sum of all interior angles in any quadrilateral is 360°.

From the image, the angles provided are:

1. 43°
2. 140°
3. 40°

Let the unknown angle be represented as \( x \).

According to the sum of angles in a quadrilateral:
\[
43^\circ + 140^\circ + 40^\circ + x = 360^\circ
\]

Combining the known angles:
\[
223^\circ + x = 360^\circ
\]

Now, subtract 223° from both sides to find \( x \):
\[
x = 360^\circ - 223^\circ = 137^\circ
\]

**The measure of the unknown angle is 137°.**

Would you like a detailed explanation of the steps, or do you have any questions?

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Here are five related questions to consider:

1. What is the sum of interior angles for different polygons?
2. How can you find an unknown angle in a triangle?
3. Why do the interior angles in a quadrilateral add up to 360°?
4. How would the solution change if this were a pentagon?
5. What is the difference between interior and exterior angles in polygons?

**Tip:** In any polygon, the sum of interior angles is \((n - 2) \times 180^\circ\), where \( n \) is the number of sides.

Find the measure of the unknown angle in the quadrilateral.

Learn how to find the unknown angle in a quadrilateral given three angles. Using the sum of angles theorem, solve for the missing angle to understand geometry concepts suitable for students in Grades 6-8.

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