https://file.aiquickdraw.com/mathbot/file/1725999476418i3ms0gpu.jpg

The image shows a triangle with angles 50°, 100°, and \( x \) (the unknown angle we need to find). The sum of all interior angles of a triangle is always 180°.

To find the unknown angle \( x \):

\[
x = 180^\circ - 50^\circ - 100^\circ
\]

\[
x = 180^\circ - 150^\circ = 30^\circ
\]

Thus, the value of \( x \) is \( 30^\circ \). The correct answer is **B. 30°**.

Would you like more details or have any further questions?

Here are some related questions to expand your understanding:

1. How do we calculate the exterior angle of a triangle?
2. What is the sum of the angles in a quadrilateral?
3. What happens to the angles in an equilateral triangle?
4. How would the solution change if this were an obtuse triangle?
5. Can a triangle have more than one obtuse angle?

**Tip:** Always remember that the sum of interior angles in any triangle is 180°.

What is the value of x in the triangle with angles 50°, 100°, and x?

Learn how to solve for the unknown angle x in a triangle where the other angles are given as 50° and 100°. This geometry problem demonstrates the Triangle Angle Sum Theorem and provides a step-by-step solution, suitable for students in Grades 6-8.

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