Question

find the value of x so that b || c. (3x + 25)° (4x + 21)° x =

Explanation:

Step1: Identify Angle Relationship

For lines \( b \parallel c \), the alternate - exterior angles should be equal. So, we set the two angle expressions equal: \( 4x + 21=3x + 25 \).

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides: \( 4x-3x + 21=3x-3x + 25 \), which simplifies to \( x + 21=25 \).
Then subtract 21 from both sides: \( x+21 - 21=25 - 21 \), so \( x = 4 \).

Answer:

\( x = 4 \)