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
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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.
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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..
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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.
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