Question
In parallelogram WXYZ, the interior angle at point Y measures 30 degrees. What is the measure of the interior angle at point X?
A. 30 degrees
B. 60 degrees
C. 150 degrees
D. 330 degrees
A. 30 degrees
B. 60 degrees
C. 150 degrees
D. 330 degrees
Answers
GPT-4o mini
In a parallelogram, opposite angles are equal and adjacent angles are supplementary (they add up to 180 degrees).
Given that the interior angle at point Y measures 30 degrees, we can find the measure of the angle at point X as follows:
\[ \text{Angle X} + \text{Angle Y} = 180^\circ \]
\[ \text{Angle X} + 30^\circ = 180^\circ \]
Now, subtract 30 degrees from both sides:
\[ \text{Angle X} = 180^\circ - 30^\circ \]
\[ \text{Angle X} = 150^\circ \]
Therefore, the measure of the interior angle at point X is 150 degrees.
The correct answer is **C. 150 degrees**.
Given that the interior angle at point Y measures 30 degrees, we can find the measure of the angle at point X as follows:
\[ \text{Angle X} + \text{Angle Y} = 180^\circ \]
\[ \text{Angle X} + 30^\circ = 180^\circ \]
Now, subtract 30 degrees from both sides:
\[ \text{Angle X} = 180^\circ - 30^\circ \]
\[ \text{Angle X} = 150^\circ \]
Therefore, the measure of the interior angle at point X is 150 degrees.
The correct answer is **C. 150 degrees**.