Question

1. which equation can be used to find the value of x?

$(6x + 4)+(9x - 7)=180$
$(6x + 4)=(9x - 7)$
$(6x + 4)+(9x - 7)=90$
$(6x + 4)-(9x - 7)=180$

Explanation:

Step1: Identify angle relationship

The angles are same-side interior angles formed by a transversal cutting two parallel lines, so they are supplementary (sum to 180°).

Step2: Set up the equation

Add the two angle expressions and set equal to 180.
$$(6x + 4) + (9x - 7) = 180$$

Answer:

A. $(6x + 4) + (9x - 7) = 180$