Question

solve for x. diagram: two parallel lines (tu, rs) with arrows, transversal pq intersecting tu at w and rs at v. angles: ∠(tu, pq) at w is (9x + 26)°, ∠(rs, pq) at v is (15x + 8)°. box for x =, save answer button.

Explanation:

Step1: Identify the relationship

The two angles \( (9x + 26)^\circ \) and \( (15x + 8)^\circ \) are alternate exterior angles, so they are equal.
\[ 9x + 26 = 15x + 8 \]

Step2: Solve for \( x \)

Subtract \( 9x \) from both sides:
\[ 26 = 6x + 8 \]
Subtract 8 from both sides:
\[ 18 = 6x \]
Divide both sides by 6:
\[ x = \frac{18}{6} = 3 \]

Answer:

\( x = 3 \)