liz7551 liz7551
  • 12-01-2024
  • Mathematics
contestada

Given the figure below, find the values of x and z.
X =
(5x + 75)
X
85°
X
5

Given the figure below find the values of x and z X 5x 75 X 85 X 5 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-01-2024

Answer:

x = 2 , z = 95

Step-by-step explanation:

(5x + 75)° and 85° are vertically opposite angles and are congruent (equal), then

5x + 75 = 85 ( subtract 75 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2

Also

z and 85° are a linear pair and sum to 180° , that is

z + 85 = 180 ( subtract 85 from both sides )

z = 95

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