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Answer:
Angle 1 = Angle 2 = 5y -23 (Vertically opposite)
We can see that we have a triangle in the figure
Since the sum of all angles of a triangle is 180,
(2x + 13) + (47) + (5y -23) = 180
2x + 5y + 37 = 180
2x + 5y = 143
5y = 143 -2x -----------------(1)
Assuming l and m to be parallel
angle 1 = 3x (corresponding angles)
5y - 23 = 3x
From equation (1)
143 -2x - 23 = 3x
120 = 5x
x = 24 ---------------------- (2)
Using (2) in (1)
5y = 143 - 2(24)
5y = 143 - 48
5y = 95
y = 19
Therefore,
x = 24
y = 19
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