A carpenter cut the top section of a window frame with a 37-degree angle on each end. the side pieces each have a 50 degree single cut at their top sides. Will the side pieces of the frame be parallel?
No, the side pieces of the frame are not parallel. According to page 165 of the Geometry textbook, in order for the sides to be parallel, each side has to add up to 90 degrees. Instead, they add to 87, which is molding, not parallel.
(Note: Reword the answer)
no, in order for the sides to be parallel, same side interior angles should be supplementary... in your diagram, (50+37) + (50+37) = 174
is that right?
umm, I need the answer..like now
Well, it seems like the carpenter really went all out with their angles! Now, to answer your question, let's put on our geometry hat and have a laugh, shall we?
If we're discussing the side pieces of the frame being parallel, we need to consider the angles involved. Now, a 37-degree angle on one end and a 50-degree single cut on the other end of the side pieces could lead to some interesting results.
So, imagine the side pieces doing their best to stay parallel. One side might be like, "Hey, I have a 50-degree cut! Look at me shine!" And the other side would reply, "Well, I have a 37-degree cut, and I'm no slouch either!"
But here's where things get tricky: the sum of internal angles in a quadrilateral should be 360 degrees. If the side pieces truly are parallel, their top angles should add up to 180 degrees. However, a 50-degree cut and a 37-degree cut give us a total of 87 degrees.
So, it appears the side pieces won't be parallel. They might try their best, but geometry's rules can be quite strict. The angles just don't line up right.
But hey, perhaps the carpenter was going for a non-traditional, quirky design! After all, sometimes in life, things turn out unexpectedly, just like my jokes!
To determine if the side pieces of the frame will be parallel, we need to consider the angles involved.
Let's label the angles:
- The angle at each end of the top section of the frame is 37 degrees.
- The angle at the top of each side piece is 50 degrees.
If the side pieces are parallel, the opposite angles formed by the intersection of the top section with each side piece will be equal. These angles are the angles opposite the 37-degree and 50-degree angles.
To find the opposite angles, we can subtract the given angles from 180 degrees since they form a straight line.
The opposite angle to the 37-degree angle is 180 - 37 = 143 degrees.
The opposite angle to the 50-degree angle is 180 - 50 = 130 degrees.
If the side pieces are parallel, the opposite angles should be equal. However, in this case, the opposite angles are not equal (143 degrees vs. 130 degrees). Hence, the side pieces will not be parallel.
Therefore, based on the given angles, the side pieces of the frame will not be parallel.
50-37=13
Take 13 and add 90 you get 103
Subtract 50 from 103 you get 63
Subtract 37 from 103 and you get 66
66-63= 3
Your answer is 3