Question

The diagram shows two parallel lines cut by transversal, if the measure of <1=(4x+1)°, what is the measure of <6A. (4x +1)B. (89-4x)C. (4x+91)D. (179-4x)

Answer 1

We have the following:

<1 and <6 are supplementary angles, that is, the sum of these two is equal to 180 degrees

$\begin{gathered} <1+<6=180 \\ <1=4x+1 \end{gathered}$

replacing:

$\begin{gathered} 4x+1+<6=180 \\ <6=-4x-1+180 \\ <6=179-4x \end{gathered}$

The answer is D. (179 -4x)°