Supplementary Angles Quick Check

Question

5 of 55 of 5 Items

Question
Use the image to answer the question.

An illustration shows a horizontal line with arrows at both ends. Another line with arrows at both ends extends from top right to bottom left and intersects the horizontal line in the center. The intersecting line creates 4 angles. The angle at the top left is labeled x degrees. The angle at top right is labeled y degrees. The angles at bottom left and right below the horizontal line are not labeled.

Use the relationship between supplementary angles to determine the value of y° if x°=125°.

(1 point)
Responses

125°
125 degrees

55°
55 degrees

305°
305 degrees

35°

Answer 1

Supplementary angles are two angles whose measures add up to 180 degrees. In the scenario described, angle \( x \) and angle \( y \) are linear pairs, meaning they are supplementary.

Given \( x = 125^\circ \), we can use the supplementary angles relationship to find \( y \):

\[ x + y = 180^\circ \]
\[ 125^\circ + y = 180^\circ \]
\[ y = 180^\circ - 125^\circ \]
\[ y = 55^\circ \]

So, the value of \( y \) is:

\[ 55^\circ \]

The correct response is:
\[ 55^\circ \]