reword please
The side pieces will not be parallel when lapped with top section ends
because the corresponding angle formed by the side pieces are not equal.
Reasons:
The given angle on each end of the window frame = 37°
The angle at the top ends of the side pieces = 50°
According to angle addition postulate, we have;
Angle formed when the top section and the side pieces lap = 37°+ 50° = 87°
Therefore;
The angle formed by the left side piece is 87° below the positive x-axis
direction, while the corresponding angle formed by the right side piece is
1.3° below the positive x-direction, such that the two side pieces are
inclined towards each other, and given that the corresponding angles are
not equal, the side pieces are therefore, not parallel.
When the top section ends are lapped with the side pieces, they will not be parallel due to the unequal corresponding angles formed.
Reasons:
The given angle at each end of the window frame is 37°.
The angle at the top ends of the side pieces is 50°.
Applying the angle addition postulate, we find that the angle formed when the top section and side pieces lap is 37° + 50° = 87°.
Therefore, the left side piece forms an angle of 87° below the positive x-axis direction, while the corresponding angle formed by the right side piece is 1.3° below the positive x-axis direction. This results in the two side pieces being inclined towards each other. Given that the corresponding angles are unequal, we can conclude that the side pieces are not parallel.
The side pieces will not be parallel when the top section ends overlap each other because the angles formed by the side pieces are not equal.
Here are the reasons:
1. The given angle on each end of the window frame is 37°.
2. The angle at the top ends of the side pieces is 50°.
3. According to the angle addition postulate, the angle formed when the top section and the side pieces overlap is 37° + 50° = 87°.
Therefore, the angle formed by the left side piece is inclined 87° below the positive x-axis direction, while the corresponding angle formed by the right side piece is inclined 1.3° below the positive x-direction. This means that the two side pieces are inclined towards each other.
Since the corresponding angles are not equal, the side pieces are not parallel.
The top section and the side pieces of a window frame will not be parallel when lapped together because the corresponding angles formed by the side pieces are not equal. To understand why, we can look at the given angles:
- The angle on each end of the window frame is 37°.
- The angle at the top ends of the side pieces is 50°.
To find the angle formed when the top section and the side pieces lap together, we can use the angle addition postulate. This postulate states that when two angles are added, the result is the sum of their measures. In this case, we add the 37° angle with the 50° angle:
Angle formed when the top section and the side pieces lap = 37° + 50° = 87°.
Therefore, the angle formed by the left side piece is 87° below the positive x-axis direction. The corresponding angle formed by the right side piece is 1.3° below the positive x-direction. This means that the two side pieces are inclined towards each other. Given that the corresponding angles are not equal, we can conclude that the side pieces are not parallel.