Question
In parallelogram WXYZ , the interior angle at point Y measures 30 degrees. What is the measure of the interior angle at point X ? (1 point)
150 degrees
330 degrees
60 degrees
30 degrees
150 degrees
330 degrees
60 degrees
30 degrees
Answers
GPT-4o mini
In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Since the interior angle at point Y measures 30 degrees, the angle at point X, which is adjacent to angle Y, can be calculated as follows:
\[
\text{Angle at X} + \text{Angle at Y} = 180^\circ
\]
\[
\text{Angle at X} + 30^\circ = 180^\circ
\]
\[
\text{Angle at X} = 180^\circ - 30^\circ = 150^\circ
\]
Therefore, the measure of the interior angle at point X is **150 degrees**.
\[
\text{Angle at X} + \text{Angle at Y} = 180^\circ
\]
\[
\text{Angle at X} + 30^\circ = 180^\circ
\]
\[
\text{Angle at X} = 180^\circ - 30^\circ = 150^\circ
\]
Therefore, the measure of the interior angle at point X is **150 degrees**.