A. The equations are given as follows:
B. The solutions are given as follows: x = 11, y = -5.
C. The angles are given as follows:
How to obtain the mesures?
The two parallel lines, p and q, are cut by the transversal line, hence angles 2 and 3 are supplementary angles, and thus:
x - 9y + 1 + 11x + 2 = 180
12x - 9y = 177.
Angles 1 and 2 are alternate interior angles, meaning that they are congruent, hence:
6x + y - 4 = x - 9y + 1.
5x + 10y = 5.
x + 2y = 1.
x = 1 - 2y.
Replacing in the first equation, the value of y is given by:
12(1 - 2y) - 9y = 177
33y = -165
y = -165/33
y = -5.
Then the value of x is of:
x = 1 - 2y = 1 + 10 = 11.
The angle measures are given as follows:
- m < 1: 6(11) - 5 - 4 = 57º.
- m < 2: 57º -> congruent to 1.
- m < 3: 123º -> supplementary to 2.
More can be learned about parallel and transversal lines and angles at https://brainly.com/question/24607467
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