https://file.aiquickdraw.com/mathbot/file/1727193869614ei0ox8lj.jpg

It looks like the image is a geometry problem involving angles, specifically asking for the measurement of a missing exterior angle.

Based on the triangle in the image, two interior angles of the triangle are given as \(53^\circ\). Using the properties of a triangle, we know the sum of all interior angles is \(180^\circ\). Let's calculate the missing angle of the triangle and the exterior angle.

### Steps:

1. **Find the third interior angle:**
   \[
   \text{Sum of interior angles} = 180^\circ
   \]
   \[
   \text{Third angle} = 180^\circ - (53^\circ + 53^\circ) = 180^\circ - 106^\circ = 74^\circ
   \]

2. **Find the exterior angle:**
   The exterior angle is supplementary to the third interior angle (i.e., they add up to \(180^\circ\)):
   \[
   \text{Exterior angle} = 180^\circ - 74^\circ = 106^\circ
   \]

Thus, the measure of the missing exterior angle is **\(106^\circ\)**.

Would you like further details or explanations on this? 

Here are some related questions for further understanding:

1. What is the relationship between exterior and interior angles of a triangle?
2. How can you generalize the rule for finding an exterior angle in any polygon?
3. Why does the sum of the interior angles of a triangle always equal \(180^\circ\)?
4. Can the exterior angle ever be less than an interior angle?
5. How do these concepts apply to non-triangular polygons?

**Tip:** Remember that the exterior angle of a triangle is always equal to the sum of the two non-adjacent interior angles.

What is the measure of the missing exterior angle in degrees?

Learn how to find the missing exterior angle of a triangle when two interior angles are given. The solution involves using the properties of triangle interior angles and exterior angle theorems. Suitable for Grades 7-9.

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