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In the figure above, lines $\ell$ and $m$ are parallel andlines $s$ and $t$ are parallel. If the measure of $\angle 1$ is$35^{\circ},$ what is the measure of $\angle 2$ ?A) $35^{\circ}$B) $55^{\circ}$C) $70^{\circ}$D) $145^{\circ}$

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Okay, So Okay, so this question is refering to the figure above Ah, and difficult above Flynt's Ellen, Um, a pilot online's sn t. Our problem of the measure of angle one is Terry five. Then where's the measure ofthe angles, too? So let's see what shall given information. So lines Ellen and a pilot, first of all, so And, um, a powder on us ntr Parliament on the one has given us Terry five degrees. So under one is telling this's given. So you want to find what's the measure and two over here? So, first of all, I'd like to start by taking this as our angle tree on this as an angle for for reference. So then and will three is going to be called angle one because they are worried going the opposite angles on. Also, since they share the same world exotic in the opposite angles are going to be equal. So these are vertically opposite ankles. Tangled three is equal to Terry five degrees Seamus angle one, then this. Oh, figure over here is a parallelogram because opposites eyes our pilot so we can name the word issues over here as a B C and D. So a B city is a part of them because opposites size a pilot. So as we know that the opposite angles off a pal. A gram are equal, so we can see that on the four. Is he called Toe angle three over here Because opposite and suffer Pilot Graham. Michael. So we know what. And the fourth, which is basically terrified the Samos angle three on DH. Some next eye's going to be that on day two on angle for our supplementary, and so they're gonna add up to one eighty degrees. So these are supplemental because they lie on a straight line. So I'm gonna do is going to be going to on eighty minus on with four. So this is basically one eighty mine and story five, which is one forty five. So this is our answer here. So the answer is answer choice D. So just going through steps once again, um, so remarked her and those which are part of Lang's which our parliament so it's NT I rather than on Emma power. And we want to terrify so whatever angles tree on before as a reference. So first we knew that our country is going to be called the angle one because there were totally opposite angles on DH. Since they share the same word hands, which is B. They're running in the opposite. Angles are equal, so angle trees ago terrify Ondas. Figure a bcd is part of the rum since opposite sense our pilot each other. So we know that opposite answer parallelogram are equal. So this is, uh, reason This is the reason now this is the reason answer saying goes Forest Terry back also certainly too. And before Adam to one eighty Because they're supplementary angles on the line. A straight line. As you can see strangled two is going to be equal to y eighty minus under four. So when eating my story five So we get an answer as one forty five degrees for number two. Yes, Mrs Chais.

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