4 angles are made on a rectangle by 5 dotted lines. There is a vertical crease at the center of the rectangle. A line is drawn from the bottom center of the rectangle that extends to the left, second line extends upward to the left, third line extends vertically upward, fourth line extends upward to the right, and the fifth line extends horizontally to the right. The angle made by the first and the second lines measures 63 degrees. The angle made by the second and the third lines measures 27 degrees. The angle made by the third and the fourth lines is labeled c degrees. The angle made by the fourth and the fifth lines is labeled d degrees."/>

Answer 1

Given the information provided:
- The angle made by the first and second lines is 63 degrees.
- The angle made by the second and third lines is 27 degrees.

We can use this information to find the values of the angles labeled c and d.

Since opposite angles in a rectangle are congruent, the angle made by the first and fourth lines is also 63 degrees.

To find the angle labeled c, we can subtract the known angles from 180 degrees (since the angles around a point add up to 180 degrees):
c = 180 - 63 - 27 - 63
c = 27 degrees

Similarly, using the same logic, we can find the angle labeled d:
d = 180 - 63 - 27
d = 90 degrees

Therefore, the angle made by the third and fourth lines is 27 degrees, and the angle made by the fourth and fifth lines is 90 degrees.