Video TranscriptHow to find all of the missing angles. So for number one um how I saw this is 180 because all triangles equal 180 degrees minus 76 minus 59 equals 45 degrees. So the measurement of angle One is 45° for number two. what you would do is the two interior angles equal the exterior angle or adjacent interior angles equal the exterior angle. So 62 plus 67 Equal 129 Degrees for # three. The two opposite um adjacent interior angles when you add them together equal the exterior angle. So in this situation because I'm giving an exterior angle and an interior angle you would take 152 minus 1 15. And the measurement of angle one is 37 degrees four. Number four the first angle I would find is angle um Number two, Angle two. And this angle are vertical angles so they both equal each other. And now that I know that angle two is 42 degrees um I know that I would find angle number one. So um all three angles when you add them together equal 180 degrees. So I would say 1 80 minus 40 to minus 50 is 88. And then to find the measurement of angle three again, all three angles of a triangle into all three interior angles of a triangle when you add them together equal 180 degrees. So I would do 1 80 minus 40 to minus 25 that's 1 13 For the next one. The first angle that I would find is angle measure number one um there are two angles that lie on a straight line, they equal 180°. So I would do 180 -118 which is 62. Then what I would do next is I would find the measurement of angle to I know that three angles interior angles, when you add them together they equal 180 degrees of a triangle. So um I would do 1 80 minus 60 to minus 73 equals 45 degrees for number three. What I first did is I said all right angle This angle that 73° in that angle equal 180°. So I found the measurement of this angle here Which is 107°. Then I said okay if this is 100 and seven degrees then I know that these three angles when you add them together equal 180 degrees. So that's how I got 26 degrees as the answer four, number six. The first angle that I would find is the measurement of angle five because I know that these three angles or lie on a straight line, all straight lines, 180 degrees. So 1 80 minus 50 to minus 47 is 81. Then the next angle that I would find is the measurement of angle three. These um this angle and this angle there opposite um interior angles. So angle three is also 47 degrees. Then angle three and four when you add them together they equal 180 degrees. So Angle four is 133° then um angle two is 52 degrees because these are opposite interior angles. So angle two is 52 degrees which means that angle one is 128 degrees. Because when you take these two angles add them together, you get 100 and 28 degrees. I'm sorry. When you take these two angles you add them together, you get 180°. Um four number seven. Um The first angle that I would find is the measurement of angle three because these are angle three in this angle are vertical angles which means angles two and four are vertical angles. Also if you notice if you draw a circle around them, those are a circle all circles of 360 degrees. Or you could say angle this angle and this angle together equal 1 80. This angle plus that angle equal 1 80. So I knew that the measurement of angles two and 4 85 degrees. If you add 85 plus 85 plus 95 plus 95 you'll get 360 degrees. Alright so the next angle measure that I found was angle five um I found that by saying, okay 1 44 plus angle five equals 180 degrees. So that's how I got, angle five is 36 because 36 plus 1 44 is 1 80. The next one I found was angle six, it's 49 degrees because angles five, three and six all equal 180 degrees. So that's how I got 49 degrees. For angle six, Angle one is 41° because 90 degrees plus 41 degrees plus. Um The measurement of angle six which is 49 degrees all equal 180 degrees. So that's how I found the angle measure of that one And then the last one, number seven um Is 106°. Hey Google Stop. And because this angle this angle and angle five when you add them together they all equal 180°. Alright. Number eight. Um All angle measures when added together equal 180 degrees. So I just took each expression added them together, solved for X. And I got X equals 12. For number nine. Again, all angle measures equal um 180 degrees. So I took 90 degrees plus seven X plus five plus three X minus five. And when I solved for XI got x equals nine. Um for number 10 I know that the two opposite interior angles equal the exterior angle. So when I solved for X I got X equals five. And then same thing for this one. Um this angle on the outside equals these two angles on the inside. So when I solved for X, I got X equals seven. This is the middle school math teacher. Have a great day.
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