Question - Solving Triangle Angles with 'x' Degrees
Solution:
The image shows a triangle with angles labeled in terms of 'x'. To solve for 'x', we'll use the fact that the sum of the interior angles of any triangle is always 180 degrees.The angles are labeled as follows:- One angle is x degrees.- The second angle is 4x + 50 degrees.- The third angle is 3x - 10 degrees.Let's write an equation that sums these angles to 180 degrees:x + (4x + 50) + (3x - 10) = 180Now, we can simplify and solve for 'x':x + 4x + 50 + 3x - 10 = 1808x + 40 = 1808x = 180 - 408x = 140x = 140 / 8x = 17.5Therefore, 'x' is 17.5 degrees.
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