Respuesta :

tonb

Answer:

a) x=38

b) x=19

Step-by-step explanation:

a) The interior angles at L and M can be found by subtracting 134 and 84 from 180 respectively:

∠L = 180 - 134 = 46

∠M = 180 - 84 = 96

The angles of a triangle sum up to 180, so x + 46 + 96 = 180.

From this you find that x = 180 - 46 - 96 = 38

b) Because YZ and XW are parallel, ∠Y=∠W = 2x

The sum of the angles in the triangle must be 180, so

3x-5 + 90 + 2x = 180

Which simplifies to

5x +85 = 180

5x = 95

x = 19

znk

Answer:

a) x = 38°; b) x = 19°  

Step-by-step explanation:

a)

∠OLM = 180 - 134 = 46°     Supplementary angles

∠OML =180 -   84 = 96°     Supplementary angles

         x + 46 + 96 = 180     Interior angles of triangle

                x + 142 = 180

                          x =   38°

===============

b)

∠XWY + 3x - 5 + 90 = 180         Interior angles of triangle

     ∠XWY + 3x + 85 = 180

(1)          ∠XWY + 3x = 95

                         ∠XWY = 2x

(2)           ∠XWY - 2x = 0           Alternate interior angles

                                5x = 95     [2 subtracted from (1)]

                                  x = 19°

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