Question

solve for x. 6 16 3.3 donuts

Explanation:

Step1: Identify the angle relationship

Since lines \( OP \) and \( QR \) are parallel (as they are both horizontal and cut by transversal \( MN \)), the corresponding angles \( (2x + 55)^\circ \) and \( (7x + 25)^\circ \) are equal. So we set up the equation:
\( 2x + 55 = 7x + 25 \)

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides:
\( 55 = 5x + 25 \)
Subtract 25 from both sides:
\( 30 = 5x \)
Divide both sides by 5:
\( x = \frac{30}{5} = 6 \)

Answer:

6