Math Problem Statement

اوجد قيمة س في الشكل المعطى

اوجد قيمة س في الشكل المعطى

Solution

To find the value of سس in the given triangle, let's analyze the problem based on the image:

We have a triangle with the following angles labeled:

  • One angle is 3030^\circ
  • Another angle is 120120^\circ
  • The third angle is labeled سس

Since the sum of the internal angles in any triangle is always 180180^\circ, we can set up the following equation:

30+120+س=18030 + 120 + س = 180

Simplifying this:

150+س=180150 + س = 180

Subtracting 150150 from both sides:

س=180150س = 180 - 150 س=30س = 30

Thus, the value of سس is 3030^\circ.

Would you like further details or have any additional questions?

Here are some related questions to expand your understanding:

  1. What is the formula for finding the missing angle in a triangle?
  2. How do you solve for an unknown angle in an isosceles triangle?
  3. What are the properties of a triangle with two equal angles?
  4. How does the angle sum property help in solving for unknown angles in polygons?
  5. What are the different types of triangles based on angles?

Tip: Always remember that the sum of interior angles in any triangle is 180180^\circ, which is useful for solving unknown angles.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Angle Sum Property

Formulas

Sum of interior angles in a triangle: 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8