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Mathematics 15 Online
OpenStudy (anonymous):

In the diagram below, lines a and b are parallel and cut by a transversal, t. If angle 1 is 100 degrees, find the measure of angle 6. Answers: 50 80 90 100

OpenStudy (anonymous):

let me draw the digram

Directrix (directrix):

ok

Directrix (directrix):

Is it that same diagram as before?

OpenStudy (anonymous):

yes

Directrix (directrix):

I'll snip and paste it over here. Just a sec.

OpenStudy (anonymous):

ok

Directrix (directrix):

Here it is.

OpenStudy (anonymous):

ok

Directrix (directrix):

We have to do this in two steps. First, as in the previous problem, angles 1 and 2 form a straight angle. So if angle 1 has measure 100, what is the measure of angle 2?

OpenStudy (anonymous):

uhm...60..

Directrix (directrix):

100 + 60 do not sum to 180. What is 180 - 100 --> This is the measure of angle 2 Try again.

OpenStudy (anonymous):

oh so its 80

Directrix (directrix):

Right

Directrix (directrix):

If 2 parallel lines are cut by a transversal, corresponding angles are congruent. Angles 2 and 6 are corresponding angles so they are congruent and have the same measure. So, the measure of angle 6 = ? @kittymeow101

Directrix (directrix):

Angles 6 and 2 are congruent so they both have measure 80. Yes.

OpenStudy (anonymous):

so the final answer is equal to 80

Directrix (directrix):

Correct.

OpenStudy (anonymous):

ok ty

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