Question - Solving for x in Intersecting Lines Adjacent Angles Problem
Solution:
The image you provided shows a pair of intersecting straight lines on a coordinate plane, creating adjacent angles marked as "3x - 14" and "56°." To solve for "x," you need to use the fact that the sum of these adjacent angles forms a straight line, which is 180 degrees.Let's set up the equation:$$ 3x - 14 + 56 = 180 $$Now, we'll combine like terms:$$ 3x + 42 = 180 $$Next, subtract 42 from both sides of the equation:$$ 3x = 138 $$Finally, divide both sides by 3 to solve for x:$$ x = \frac{138}{3} $$$$ x = 46 $$Therefore, x equals 46 degrees.
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