Questions: Solving Interior Angles Exercises x= square degrees Find the value of each indicated angle x= square degrees

Transcript text: Solving Interior Angles Exercises $x=$ $\square$ degrees Find the value of each indicated angle $x=$ $\square$ degrees

Solution

Solution Steps

Step 1: Identify the given angles and relationships

In the first problem, we need to find the value of the indicated angle $ x $. The given angles are part of a pair of parallel lines cut by a transversal, creating corresponding angles.

Step 2: Apply the corresponding angles postulate

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the given angle and the angle $ x $ are equal.

Step 3: Solve for $ x $

Since the corresponding angles are equal, we can directly set the given angle equal to $ x $. If the given angle is, for example, 50 degrees, then: \[ x = 50 \text{ degrees} \]