Starting from the fundamental trigonometric equation, we have
Since , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have
Plugging the numbers, we have
Now, just recall that
to deduce
Answer:
The angles formed on line b when cut by the transversal are congruent with ∠2 are
Step-by-step explanation:
Consider the provided information.
If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .
The angles on the same corners are called corresponding angle.
Alternate Angles: Angles that are in opposite positions relative to a transversal intersecting two lines.
∠2 and ∠6 are corresponding angles
Therefore, ∠2 = ∠6
∠2 and ∠7 are alternate exterior angles
Therefore, ∠2 = ∠7
Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are
