https://file.aiquickdraw.com/mathbot/file/17279896138800tp6qxqa.jpg

The image shows a triangle with three angles: 30°, 75°, and \(x^\circ\). To find the value of \(x\), we can use the fact that the sum of the angles in any triangle is always 180°.

Thus, we can set up the equation:
\[
x + 30^\circ + 75^\circ = 180^\circ
\]
Simplifying:
\[
x + 105^\circ = 180^\circ
\]
Now, solve for \(x\):
\[
x = 180^\circ - 105^\circ = 75^\circ
\]

So, the value of \(x\) is \(75^\circ\).

Would you like more details on any step or have any further questions?

Here are 5 related questions to expand this topic:
1. What is the general rule for the sum of angles in polygons other than triangles?
2. How do we classify triangles based on their angles?
3. Can you explain how to determine an unknown side of a triangle if the angles are known?
4. What is the difference between an acute and an obtuse triangle?
5. How does trigonometry relate to finding unknown angles in triangles?

**Tip:** Always remember that the sum of the interior angles of any triangle will always equal 180°, regardless of the type of triangle.

Find the value of x in a triangle where the given angles are 30° and 75°.

Learn how to find the missing angle in a triangle where two angles are given as 30° and 75°. This problem uses the Triangle Angle Sum Theorem and is suitable for students in Grades 6-8.

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