Question

1. if ( l parallel m ), find the value ((7x - 15)^circ) ((24x + 9)^circ)

Explanation:

Step1: Identify angle relationship

Since \( l \parallel m \), the given angles are same-side interior angles, so they are supplementary (sum to \( 180^\circ \)).

Step2: Set up equation

$$(7x - 15) + (24x + 9) = 180$$

Step3: Simplify left side

Combine like terms:
$$31x - 6 = 180$$

Step4: Solve for \( x \)

Add 6 to both sides:
$$31x = 186$$
Divide by 31:
$$x = \frac{186}{31} = 6$$

Answer:

\( x = 6 \)