Ale10101
Ale10101 Ale10101
  • 25-11-2020
  • Mathematics
contestada

Given the figure below, find the values of x and z.
x =
(13x + 30)
z =
(12x + 50)

Given the figure below find the values of x and z x 13x 30 z 12x 50 class=

Respuesta :

eudora eudora
  • 30-11-2020

Answer:

x = 4

z = 92°

Step-by-step explanation:

From the picture attached,

Two straight lines are intersecting each other at a point so that,

(12x + 50)° + (13x + 30)° = 180° [Linear pair of angles]

25x + 80 = 180

25x = 100

x = 4

Therefore, measure of (13x + 40)° = 13×4 + 40

                                                        = 52 + 40

                                                        = 92°

Since, z° = (13x + 40)° [Vertically opposite angles]

Therefore, z° = 92°

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