Question

find the value of x for which l is parallel to m. the diagram is not to scale. (3x - 43)° 80° 123 41 100 80

Explanation:

Step1: Identify Alternate Interior Angles

When lines \( l \) and \( m \) are parallel, the alternate interior angles are equal. So, \( 3x - 43 = 80 \).

Step2: Solve for \( x \)

Add 43 to both sides: \( 3x = 80 + 43 \)
\( 3x = 123 \)
Divide by 3: \( x = \frac{123}{3} = 41 \).

Answer:

41