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Okay people check out this weird war laki looking and

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diagram here We got one through seven and angles there

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are question given that well the angle em there Ah

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number three Right here is eighty degrees What is angled

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to Plus angle seven plus angle Four plus angle six

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

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we can write that use the angles in the given

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

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

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

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degrees So seven plus three plus six there is one

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

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we can work with Used this equation Isolate angle six

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and seven and apply the fact that the angle three

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is eighty degrees So if we do that we get

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well Angle seven and six are one eighty Then we

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take one eighty and subtract that angle Three there and

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

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and four form a linear triplet so angle two three

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and four are one hundred eighty degrees Well we can

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isolate angles two and four and use the measure of

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angle three once again right So we have angle too

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And for our one hundred eighty degrees Then subtract ingle

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

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knowing that angle to plus angle Seven plus angle Four

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plus angle Six is basically just one hundred plus one

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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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