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180 is the straight line angle so you take away the degree on the outside from 180. Whatever the answer is is the missing angle on the inside corner. For this one, it would be 180-117 which equals 63. So the inside angle of the bottom right corner (c) equals 63 degrees. It is a straight line angle it is just on a slant.
how to find b=
b is pretty much the same method used. However, for this one the outside angle is 96 degrees. There is a straight line angle (180 degrees) on the bottom so we take away 96 from 180 which now equals 84. Therefore angle b= 84 degrees.
how to find a=
a on the other hand does not have an outside angle therefore it is easier. All we need to do is add all of the sides up and take it away from 360 because our shape is a quadrilateral and therefore the angles sum up to 360.
We already know 112 degrees is the corner so we just have to do 112+63+84. That gives us 259. Then we remove 259 from 360 and we get 101. Therefore angle a is equal to 101 degrees.
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