Question

solve for x.

x =
submit

Explanation:

Step1: Identify the relationship (corresponding angles)

Since \( FG \parallel HI \) and \( DE \) is a transversal, the angles \( (7x + 5)^\circ \) and \( (2x + 35)^\circ \) are corresponding angles, so they are equal.
\[ 7x + 5 = 2x + 35 \]

Step2: Solve for \( x \) (subtract \( 2x \) from both sides)

Subtract \( 2x \) from each side to get:
\[ 7x - 2x + 5 = 35 \]
\[ 5x + 5 = 35 \]

Step3: Subtract 5 from both sides

Subtract 5 from both sides:
\[ 5x = 35 - 5 \]
\[ 5x = 30 \]

Step4: Divide by 5

Divide both sides by 5:
\[ x = \frac{30}{5} \]
\[ x = 6 \]

Answer:

\( x = 6 \)