In parallelogram WXYZ

Question

𝑊
𝑋
𝑌
𝑍
, the interior angle at point Y
𝑌
measures 30 degrees. What is the measure of the interior angle at point X
𝑋
?

Answer 1

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

Since the interior angle at point \( Y \) measures \( 30^\circ \), the adjacent angle at point \( X \) will be:

\[ 180^\circ - \text{angle at } Y = 180^\circ - 30^\circ = 150^\circ. \]

Thus, the measure of the interior angle at point \( X \) is \( 150^\circ \).