Math Problem Statement

Find the missing angle in a triangle where two angles are given as 47° and 16°.

Solution

In this triangle, you are given two angles: 47° and 16°. The task is to find the missing angle, xx.

To find the missing angle in any triangle, you can use the fact that the sum of all angles in a triangle is always 180°. Therefore, you can set up the following equation:

x+47+16=180x + 47^\circ + 16^\circ = 180^\circ

Now, solve for xx:

x=180(47+16)x = 180^\circ - (47^\circ + 16^\circ) x=18063x = 180^\circ - 63^\circ x=117x = 117^\circ

Thus, the missing angle xx is 117117^\circ.

Would you like further details or have any other questions?

Here are five related questions:

  1. How do you find missing angles in quadrilaterals?
  2. Can a triangle have more than one obtuse angle?
  3. What happens if the sum of the angles in a polygon is less than expected?
  4. How do you calculate exterior angles in polygons?
  5. Can you apply the same method for non-Euclidean triangles?

Tip: In any triangle, the largest angle is always opposite the longest side.

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Math Problem Analysis

Mathematical Concepts

Triangle
Angle Sum Property

Formulas

Sum of angles in a triangle = 180°

Theorems

Angle Sum Theorem

Suitable Grade Level

Grades 6-8