Answer:
x = 20°
y = 19°
Step-by-step explanation:
The first two angles that are in the 2nd Quadrant:
2x - 3
3x - 7
The rule states that the two angles are complimentary angles that form an angle of 90°. So,
(2x - 3) + (3x - 7) = 90
2x - 3 + 3x - 7 = 90
2x + 3x - 3 - 7 = 90
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100 ÷ 5
x = 20
Another rule applies here, vertical angles are equivalent to each other.
So,
2x - 3 = 2y - 1
2(20) - 3 = 2y - 1
40 - 3 = 2y - 1
37 = 2y - 1
37 + 1 = 2y
38 = 2y
38 ÷ 2 = y
19 = y
