Question

A pair of corresponding angles created by a transversal and two lines have measures described by the expressions2x + 3 and 3r – 11.If x = 14, which best describes the relationship between the lines?

Answer 1

Given data:

The first corresponding angle is 2x+3.

The second corresponding angle is 3r-11.

The value of x is x=14.

Corresponding angles are equal.

`\begin{gathered} 2x+3=3r-11 \\ 2(14)+3=3r-11 \\ 42=3r \\ r=14 \end{gathered}`

Thus, the value of r is 14.