for context, there's a rectangle that's kinda slanted to the right, it has four points, top left being A, top right being B, bottom left being D, and bottom right being C

Question

If the interior angle of point A in this parallelogram measures 155 degrees, what is the interior angle measures of point C

The measure of angle C is ____ degrees

Answer 1

In a parallelogram, the opposite angles are equal, and the adjacent angles are supplementary (i.e., they add up to \(180\) degrees).

Since angle A is given as \(155\) degrees, the measure of angle B, which is adjacent to angle A, can be found as follows:

\[ \text{Angle B} = 180° - \text{Angle A} = 180° - 155° = 25° \]

Now, since opposite angles are equal in a parallelogram, angle C, which is opposite to angle A, is the same as angle A:

\[ \text{Angle C} = \text{Angle A} = 155° \]

Therefore, the measure of angle C is \(155\) degrees.