Respuesta :

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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