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 (they form a linear pair, so their sum is 180°).

Step2: Solve for \( x \)

Using the supplementary angle formula: \( x + 70 = 180 \)
Subtract 70 from both sides: \( x = 180 - 70 \)
\( x = 110 \)

Answer:

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