Question

in the figure below, \\(m \parallel g\\).
find the values of \\(y\\) and \\(x\\).
\\(y = \\)
\\(x = \\)

Explanation:

⚡ Using what you learned: lines and angles (parallel, transversal, vertical)

Step 1: Find the value of \( y \)

Since lines \( e \) and \( f \) are parallel (\( e \parallel f \)) and cut by a transversal line, the consecutive interior angles (also known as same-side interior angles) are supplementary:

$$ 70 + y = 180 $$

$$ y = 110 $$

Step 2: Find the value of \( x \)

The angle labeled \( y^\circ \) and the angle labeled \( (5x - 20)^\circ \) are vertical angles, which means they are equal:

$$ 5x - 20 = y $$

Substitute \( y = 110 \) into the equation:

$$ 5x - 20 = 110 $$

$$ 5x = 130 $$

$$ x = 26 $$

Answer:

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