Question

solve for x.
(figure with lines and angles: (2x)°, (5x + 5)°)
x =
submit

Explanation:

Step1: Identify angle relationship

Since \( GJ \parallel IK \) (parallel lines) and \( DE \) is a transversal, the consecutive interior angles are supplementary. So \( (2x)^\circ + (5x + 5)^\circ = 180^\circ \).

Step2: Simplify the equation

Combine like terms: \( 2x + 5x + 5 = 180 \) → \( 7x + 5 = 180 \).

Step3: Solve for x

Subtract 5 from both sides: \( 7x = 180 - 5 = 175 \). Then divide by 7: \( x = \frac{175}{7} = 25 \).

Answer:

\( x = 25 \)