Solving for x in Intersecting Lines Adjacent Angles Problem
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.
