Math Problem Statement

what is the missing angle

Solution

To find the missing angle in the triangle, we use the fact that the sum of the interior angles in any triangle is always 180180^\circ.

Given:

  • Angle 1: 6161^\circ
  • Angle 2: 6969^\circ
  • Missing angle: xx

We can write the equation:

x+61+69=180x + 61^\circ + 69^\circ = 180^\circ

Now, let's solve for xx:

x+130=180x + 130^\circ = 180^\circ

x=180130=50x = 180^\circ - 130^\circ = 50^\circ

So, the missing angle is 5050^\circ.

Would you like further details or have any questions?

Here are some related questions:

  1. What is the sum of angles in a quadrilateral?
  2. Can a triangle have more than one obtuse angle?
  3. How do you classify triangles based on their angles?
  4. What are the properties of an isosceles triangle?
  5. How do you calculate the exterior angles of a triangle?

Tip: When solving for unknown angles in polygons, always remember that the sum of interior angles increases by 180180^\circ with each additional side. For example, a quadrilateral's angles sum to 360360^\circ.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Angles

Formulas

-

Theorems

Sum of angles in a triangle

Suitable Grade Level

Grades 7-9