Math Problem Statement

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

Solution

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

To find the unknown angle xx:

x=18050100x = 180^\circ - 50^\circ - 100^\circ

x=180150=30x = 180^\circ - 150^\circ = 30^\circ

Thus, the value of xx is 3030^\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°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Interior Angles

Formulas

Sum of interior angles in a triangle = 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8