Questions: The image contains geometric information. It shows two intersecting lines with angles labeled 130° and y°. The angles appear to be supplementary (adding up to 180°).

The image contains geometric information. It shows two intersecting lines with angles labeled 130° and y°. The angles appear to be supplementary (adding up to 180°).

Transcript text: The image contains geometric information. It shows two intersecting lines with angles labeled 130° and y°. The angles appear to be supplementary (adding up to 180°).

Solution

Solution Steps

Step 1: Identify the relationship between the angles

The given angles are part of a pair of parallel lines cut by a transversal. The 130° angle and the \( x° \) angle are corresponding angles.

Step 2: Determine the value of \( x \)

Since corresponding angles are equal when two parallel lines are cut by a transversal: \[ x = 130° \]

Step 3: Determine the value of \( y \)

The \( y° \) angle and the 130° angle are supplementary angles because they form a straight line. Therefore: \[ y + 130° = 180° \] \[ y = 180° - 130° \] \[ y = 50° \]

Final Answer

\[ x = 130° \] \[ y = 50° \]

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