Question

the image shows parallel lines cut by a transversal. the expressions represent unknown angle measurements. what is the value of x? 15x + 10 16x + 4

Explanation:

Step1: Set up equation

Since the angles are equal (corresponding or alternate - interior etc. for parallel lines cut by transversal), we have $15x + 10=16x + 4$.

Step2: Solve for x

Subtract $15x$ from both sides: $10=x + 4$. Then subtract 4 from both sides, $x = 6$.

Answer:

6