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question 15 (5 points) find the value of x for which r || s a) cant be …

Question

question 15 (5 points)
find the value of x for which r || s
a) cant be determined.
b) 14
c) 44
d) 10

Explanation:

Step1: Identify Angle Relationship

When \( r \parallel s \), the given angles are alternate interior angles, so they are equal. Thus, \( 3x + 3 = 45 \).

Step2: Solve for \( x \)

Subtract 3 from both sides: \( 3x = 45 - 3 = 42 \).
Divide by 3: \( x = \frac{42}{3} = 14 \).

Answer:

B) 14