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ACT Aspire Math: Adding Interior Angles and Linear Triplets 2 Views


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Description:

Given that m∠3 = 80°, what is m∠2 + m∠7 + m∠4 + m∠6?


Transcript

00:03

Okay people check out this weird war laki looking and

00:07

diagram here We got one through seven and angles there

00:10

are question given that well the angle em there Ah

00:14

number three Right here is eighty degrees What is angled

00:18

to Plus angle seven plus angle Four plus angle six

00:26

All right well let's start out by saying what equations

00:28

we can write that use the angles in the given

00:31

some and bear with us This isn't simply a neat

00:34

thought experiment There's a point to it way Swear well

00:37

the sum of any triangle's interior angles one hundred eighty

00:39

degrees So seven plus three plus six there is one

00:42

hundred eighty degrees right That's at least a foundational base

00:46

we can work with Used this equation Isolate angle six

00:49

and seven and apply the fact that the angle three

00:52

is eighty degrees So if we do that we get

00:55

well Angle seven and six are one eighty Then we

00:58

take one eighty and subtract that angle Three there and

01:01

that gets us a hundred degrees So angle's too three

01:04

and four form a linear triplet so angle two three

01:08

and four are one hundred eighty degrees Well we can

01:10

isolate angles two and four and use the measure of

01:13

angle three once again right So we have angle too

01:16

And for our one hundred eighty degrees Then subtract ingle

01:18

three's eighty and that gets us a hundred degrees Well

01:21

knowing that angle to plus angle Seven plus angle Four

01:24

plus angle Six is basically just one hundred plus one

01:27

hundred or two hundred degrees in angularity So the answer 00:01:31.521 --> [endTime] they arrest you See that's it Two hundred baby

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