Math Problem Statement

Find the missing angle in a triangle where two angles are 68° and 41°.

Solution

The image shows a triangle with two known angles: 68° and 41°, and the third angle, labeled as xx, is unknown. To find the missing angle, we can use the fact that the sum of the angles in any triangle is always 180°.

We can set up the equation:

x+68+41=180x + 68^\circ + 41^\circ = 180^\circ

Now, solve for xx:

x=1806841x = 180^\circ - 68^\circ - 41^\circ x=180109x = 180^\circ - 109^\circ x=71x = 71^\circ

So, the missing angle xx is 7171^\circ.

Would you like more details or have any questions?

Related questions:

  1. What is the sum of interior angles of any polygon?
  2. How can you calculate an exterior angle of a triangle?
  3. If one angle in a triangle is obtuse, what can you say about the other angles?
  4. Can two angles in a triangle both be right angles?
  5. How does the Pythagorean Theorem relate to triangles with a right angle?

Tip:

Remember that the sum of angles in any triangle always equals 180°, which can help solve many angle-related problems easily!

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Angle Sum Theorem

Formulas

x + 68° + 41° = 180°

Theorems

Sum of angles in a triangle equals 180°

Suitable Grade Level

Grades 6-8