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Mathematics 24 Online
OpenStudy (anonymous):

Are the two triangles similar? How do you know? MEDALS!!!!!!!!!!!!

OpenStudy (anonymous):

can't see the pic

OpenStudy (anonymous):

OK HOLD ON

OpenStudy (anonymous):

OpenStudy (anonymous):

you should be able to figure out what the angle are for each of the triangles, right? if two triangles are similar then their corresponding angles are congruent.

OpenStudy (anonymous):

wait i'm confused so how do i tell

OpenStudy (anonymous):

is it because they have the same angle 60*

OpenStudy (anonymous):

what's the \(m\angle E\)?

OpenStudy (anonymous):

60 right?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

what is the sum of all of the angles of any triangle?

OpenStudy (anonymous):

180 i think

OpenStudy (anonymous):

yep. so use that to get the \(m\angle E\).

OpenStudy (anonymous):

so do i divide 180 by 60

OpenStudy (anonymous):

no, write the equation... do you know what sum means?

OpenStudy (anonymous):

yea addition

OpenStudy (anonymous):

exactly... so the sum of the angles in any triangle must be \(180^{\circ}\). that means \(m\angle C +m\angle D +m\angle E = 180^{\circ}\)

OpenStudy (anonymous):

right so m∠60+m∠53+m∠67=180 So E is 67

OpenStudy (anonymous):

very good! now do the same for the other triangle.

OpenStudy (anonymous):

G is 53

OpenStudy (anonymous):

because its congruent to D right

OpenStudy (anonymous):

oh, and \(m\angle C=60^{\circ}\) not \(m\angle 60\), okay?

OpenStudy (anonymous):

ok sry

OpenStudy (anonymous):

no, \(m\angle G = 53^{\circ}\) because 53+60+67 = 180. then because the corresponding angles are congruent, you can say that the triangles are similar.

OpenStudy (anonymous):

oh, and no need to apologize, just want you to use the symbology correctly : )

OpenStudy (anonymous):

true ok thx so much your really helped now i understand

OpenStudy (anonymous):

awesome!!! keep up the good work!

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