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 \( x^\circ \) and \( 70^\circ \) are supplementary (they form a linear pair), so their sum is \( 180^\circ \).

$$ x + 70 = 180 $$

Step2: Solve for \( x \)

Subtract \( 70 \) from both sides of the equation.

$$ x = 180 - 70 $$

$$ x = 110 $$

Answer:

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