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Find the value of x in the following figures 12 - x, 65 degree, 11x + 5 degree?
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Find the value of x in the following figures 12 - x, 65 degree, 11x + ...
Given Figures:
1. Angle 1: 12 - x degrees
2. Angle 2: 65 degrees
3. Angle 3: 11x + 5 degrees

Finding the value of x:

Step 1: Sum of angles in a triangle
- The sum of angles in a triangle is always 180 degrees. Therefore, we can write the equation:
12 - x + 65 + 11x + 5 = 180

Step 2: Solving the equation
- Simplifying the equation, we get:
82 + 10x = 180
10x = 98
x = 9.8

Step 3: Checking the solution
- Substituting x = 9.8 back into the angles:
Angle 1: 12 - 9.8 = 2.2 degrees
Angle 2: 65 degrees
Angle 3: 11(9.8) + 5 = 108.8 + 5 = 113.8 degrees

Conclusion:
- The value of x is 9.8 degrees.
- This solution satisfies the sum of angles in a triangle, confirming the accuracy of the answer.
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