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  • 16-09-2020
  • Mathematics
contestada

<1 and <2 are verlical angles. If m<1 =
(5x + 12) and m2 = (6x - 11)", find <1).

Respuesta :

Dead3ill
Dead3ill Dead3ill
  • 16-09-2020

Answer:

m<1 = 127°

Step-by-step explanation:

Vertical Opposite angles are always equal .

So as <1 & <2 are vertically opposite angles ,

m<1 = m<2

It's given that m<1 = 5x + 12 & m<2 = (6x - 11)

So ,

[tex]5x + 12 = 6x - 11[/tex]

[tex] = > 6x - 5x = 12 + 11[/tex]

[tex] = > x = 23[/tex]

As the value of x = 23 , m<1 = 5x + 12

= 5×23 + 12

= 115 + 12

= 127°

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