The measure of one angle is 130°. What is true regarding the 130° angle and angle 3 in the given figure?
Parallel lines have many interesting properties which are very important geometrical concepts. Among them are the property of alternate and corresponding angles.
Answer: The angle 130° and angle 3 are alternate interior angles hence angle 3 is equal to 130°.
Let's understand the solution in detail.
Given in the figure are a set of three parallel lines.
Now, parallel lines have the property which states that alternate interior angles are equal when two parallel lines are cut by a transversal.
In the given figure a is parallel to c, hence we can say that angle 3 = 130° by the alternate interior angles property.
Thus, the angle 130° and angle 3 are alternate interior angles hence angle 3 is equal to 130°.