Question

two parallel lines are crossed by a transversal. what is the value of x? x = 40 x = 70 x = 110 x = 130

Explanation:

Step1: Identify angle relationship

The two angles (70° and \( x^\circ \)) are supplementary (form a linear pair), so their sum is 180°.
\[ 70 + x = 180 \]

Step2: Solve for \( x \)

Subtract 70 from both sides:
\[ x = 180 - 70 \]
\[ x = 110 \]

Answer:

\( x = 110 \) (corresponding to the option \( x = 110 \))