Question

1. in the figure, line t intersects parallel lines n and m. if c = 135, then what is the value of a? note: figure not drawn to scale. a is

Explanation:

Step1: Find the value of \( b \)

Since \( m\parallel n \), \( b = c \) (corresponding angles). Given \( c = 135\), so \( b=135 \).

Step2: Find the value of \( a \)

\( a + b=180 \) (supplementary angles). Substitute \( b = 135 \) into the equation: \( a+135 = 180 \). Then \( a=180 - 135=45 \).

Answer:

\( 45 \)