If line C is a transversal intersecting lines A and B, the angles formed between line A and line C will have the same measure as the angles formed between line B and line C. Let's call this angle with a measure of 150 degrees X.
Now, as lines A and B are parallel, they have corresponding angles that are congruent. Since angle X is formed by line C intersecting line A, the corresponding angle formed by line C intersecting line B will also have a measure of 150 degrees.
So, the angles formed by line A and line C are X (150 degrees) and its corresponding angle formed by line B and line C is also 150 degrees.
Lines A and B are parallel. Line C is a transversal. Find the measures of all angles formed by A, B, and C given each scenario. One of the angles measure 150˚.
3 answers
NO
Apologies for the confusion. Let's go through the problem again.
Given that lines A and B are parallel, line C is a transversal, and one angle measures 150 degrees, we need to find the measures of all angles formed by lines A, B, and C.
Here's a breakdown of the angles formed:
1. Angle 1: This is the angle formed by line A and line C on one side of the transversal. Since line A is parallel to line B, and angle 1 is the corresponding angle to the given angle of 150 degrees, angle 1 will also measure 150 degrees.
2. Angle 2: This is the angle formed by line B and line C on the same side of the transversal. Since line A is parallel to line B, and angle 2 is the corresponding angle to angle 1, angle 2 will also measure 150 degrees.
3. Angle 3: This is the angle formed by line A and line C on the opposite side of the transversal. Since line A is parallel to line B, and angle 3 is the alternate interior angle to the given angle of 150 degrees, angle 3 will also measure 150 degrees.
4. Angle 4: This is the angle formed by line B and line C on the opposite side of the transversal. Since line A is parallel to line B, and angle 4 is the corresponding angle to angle 3, angle 4 will also measure 150 degrees.
So, all the angles formed by lines A, B, and C will measure 150 degrees.
Given that lines A and B are parallel, line C is a transversal, and one angle measures 150 degrees, we need to find the measures of all angles formed by lines A, B, and C.
Here's a breakdown of the angles formed:
1. Angle 1: This is the angle formed by line A and line C on one side of the transversal. Since line A is parallel to line B, and angle 1 is the corresponding angle to the given angle of 150 degrees, angle 1 will also measure 150 degrees.
2. Angle 2: This is the angle formed by line B and line C on the same side of the transversal. Since line A is parallel to line B, and angle 2 is the corresponding angle to angle 1, angle 2 will also measure 150 degrees.
3. Angle 3: This is the angle formed by line A and line C on the opposite side of the transversal. Since line A is parallel to line B, and angle 3 is the alternate interior angle to the given angle of 150 degrees, angle 3 will also measure 150 degrees.
4. Angle 4: This is the angle formed by line B and line C on the opposite side of the transversal. Since line A is parallel to line B, and angle 4 is the corresponding angle to angle 3, angle 4 will also measure 150 degrees.
So, all the angles formed by lines A, B, and C will measure 150 degrees.
7 answers