QUESTION IMAGE
Question
c e a (5x + 29)° (9x - 7)° b g h d f x =
Step1: Identify the relationship
Since lines \( CD \) and \( EF \) are parallel (both vertical with same direction), and \( AB \) is a transversal, the alternate exterior angles \( (5x + 29)^\circ \) and \( (9x - 7)^\circ \) are equal. So we set up the equation:
\( 5x + 29 = 9x - 7 \)
Step2: Solve for \( x \)
Subtract \( 5x \) from both sides:
\( 29 = 4x - 7 \)
Add 7 to both sides:
\( 36 = 4x \)
Divide both sides by 4:
\( x = 9 \)
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\( 9 \)