Determination of Angle Theta in Geometric Figure
The image contains a geometric figure along with a couple of questions. To solve the 5th question, "What is the measure angle θ," we need to use the properties of angles related to parallel lines and transversals.
In the figure, we have a transversal cutting across two parallel lines, with one of the exterior angles marked as 120 degrees. According to the alternate exterior angles theorem, alternate exterior angles are equal when the lines are parallel.
Since angle β is an alternate exterior angle to the angle marked as 120 degrees, they are congruent, which means angle β is also 120 degrees.
Therefore, the measure of angle θ is 120 degrees.
