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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)

The diagram shows two parallel lines cut by transversal if the measure of lt14x1 what is the measure of lt6A 4x 1B 894xC 4x91D 1794x class=

Respuesta :

We have the following:

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

[tex]\begin{gathered} <1+<6=180 \\ <1=4x+1 \end{gathered}[/tex]

replacing:

[tex]\begin{gathered} 4x+1+<6=180 \\ <6=-4x-1+180 \\ <6=179-4x \end{gathered}[/tex]

The answer is D. (179 -4x)°

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