https://file.aiquickdraw.com/mathbot/file/17256452439025tnuaiab.jpg

The image shows a right-angle triangle with one of the angles marked as \( 40^\circ \). Since one angle is \( 90^\circ \) (the right angle) and the sum of the angles in any triangle is \( 180^\circ \), we can calculate the missing angle.

### Step-by-step solution:
1. The sum of the angles in a triangle is \( 180^\circ \).
2. One angle is \( 90^\circ \) (the right angle), and another is \( 40^\circ \).
3. The missing angle can be calculated as:
   \[
   \text{Missing angle} = 180^\circ - 90^\circ - 40^\circ = 50^\circ
   \]

Thus, the missing angle is \( 50^\circ \).

Let me know if you'd like more details, or if you have any questions.

Here are 5 related questions:
1. What is the sum of the interior angles in any triangle?
2. How do you determine if a triangle is right-angled?
3. Can a triangle have two right angles? Why or why not?
4. How can you calculate the third angle of a triangle if two angles are known?
5. What types of triangles have a \(90^\circ\) angle?

**Tip:** Always check that the sum of all angles in a triangle equals \(180^\circ\), regardless of its type!

Find the missing angle in a right-angled triangle where one angle is 40°.

Learn how to find the missing angle in a right-angled triangle where one angle is given as 40°. This problem covers key geometry concepts, including the angle sum property of a triangle and how to calculate the third angle when two angles are known. Suitable for students in Grades 6-8.

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