Question

solve for x.
(there is a diagram with two parallel vertical lines (cd and ef) and a transversal line ab intersecting them at points g and h respectively. at point g, the angle between ab and cd is (3x - 10)°, and at point h, the angle between ab and ef is 110°.)
x = \square
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Explanation:

Step1: Identify Parallel Lines and Angles

Lines \( CD \) and \( EF \) are parallel (both vertical with same direction). Transversal \( AB \) creates corresponding angles or alternate interior angles. The angle \( (3x - 10)^\circ \) and \( 110^\circ \) are equal (corresponding angles, since \( CD \parallel EF \) and \( AB \) is transversal). So, set \( 3x - 10 = 110 \).

Step2: Solve for \( x \)

Add 10 to both sides: \( 3x = 110 + 10 = 120 \). Divide by 3: \( x = \frac{120}{3} = 40 \).

Answer:

\( x = 40 \)