Question

deltamath
question
given ( t parallel m parallel n ), find the value of ( x ).

Explanation:

Step1: Identify the angle relationship

Since \( t \parallel m \parallel n \), the \( 124^\circ \) angle and \( x^\circ \) angle are same - side interior angles (or consecutive interior angles) with respect to the transversal. Same - side interior angles are supplementary, which means their sum is \( 180^\circ \).

Step2: Set up the equation

We know that if two angles are supplementary, then \( 124 + x=180 \).

Step3: Solve for \( x \)

Subtract \( 124 \) from both sides of the equation: \( x = 180 - 124 \).
Calculate \( 180-124 = 56 \).

Answer:

\( 56 \)