Question
In parallelogram WXYZ, the interior angle of X measures 35 degrees and the interior angle of Z also measures 35 degrees. What are the interior angle measures of W and Y? (1 point)
Answers
GPT-4o mini
In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (they add up to 180 degrees).
Given that angle X measures 35 degrees, angle Z, which is opposite to angle X, also measures 35 degrees.
Now, to find the measures of angles W and Y, we use the fact that angles X and W are supplementary:
\[
\text{Angle W} = 180^\circ - \text{Angle X} = 180^\circ - 35^\circ = 145^\circ
\]
Since angle Y is opposite angle W, angle Y also measures 145 degrees.
Therefore, the interior angle measures of angles W and Y are:
- Angle W: 145 degrees
- Angle Y: 145 degrees
Given that angle X measures 35 degrees, angle Z, which is opposite to angle X, also measures 35 degrees.
Now, to find the measures of angles W and Y, we use the fact that angles X and W are supplementary:
\[
\text{Angle W} = 180^\circ - \text{Angle X} = 180^\circ - 35^\circ = 145^\circ
\]
Since angle Y is opposite angle W, angle Y also measures 145 degrees.
Therefore, the interior angle measures of angles W and Y are:
- Angle W: 145 degrees
- Angle Y: 145 degrees