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Q: What are the degrees of m angle 1?
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What can be concluded about two angles that each form a linear angle with angle 4?

Let's call the two angles angle 1 and angle 2. We are given that angle 1 and angle 4 form a linear angle and that angle 2 and angle 4 form a linear angle. Because linear angles measure 180 degrees, we arrive at: m<1 + m<4 = 180 m<2 + m<4 = 180. By subtracting the second equation from the first, we get: m<1 - m<2 = 0. And finally: m<1 = m<2. Thus, angle 1 is congruent to angle 2.


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It means "measure". So m<AVB is saying "the measure of Angle AVB is/= ? degrees".


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Oh, dude, the angle that has a tangent of 1 is 45 degrees or π/4 radians. It's like the cool kid at the math party, always hanging out with a value of 1 and making all the other angles jealous. So, if you wanna be in the tangent club, just remember 45 degrees is where it's at.


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