While putting sheeting on the outside of a house, a construction worker cuts a piece of plywood such as that it is a quadrilateral with exactly 2 consecutive right angles. This plywood is
a rectangle
a parallelogram
a square
a trapezoid
none
of the above
Answer: a trapezoid
if, for a convex octagon 5 exterior angles each measure 32 degrees and 2 exterior angles each measure 33 degrees find the measure of the eighth exterior angle
126
134
132
129
none
of the above
Answer: 134
why?
The sum of the exterior angles of any polygon is always equal to 360 degrees. Therefore, we can use the formula:
sum of exterior angles = 360
Since we know that 5 exterior angles each measure 32 degrees and 2 exterior angles each measure 33 degrees, we can substitute these values into the formula:
5(32) + 2(33) + x = 360
160 + 66 + x = 360
226 + x = 360
x = 134
Therefore, the measure of the eighth exterior angle is 134 degrees.
when using an indirect proof, we show that the negation of the desired conclusion leads to a contradiction
true
false