noahlevi
noahlevi noahlevi
  • 18-05-2018
  • Mathematics
contestada

In triangle ABC, angle A = (4x+5) and angle B = (5x-1)

What is angle C?

29

180

8

122

In triangle ABC angle A 4x5 and angle B 5x1 What is angle C 29 180 8 122 class=

Respuesta :

gmany
gmany gmany
  • 18-05-2018
It is an isosceles triangle, therefore

[tex]m\angle A=m\angle B[/tex]

[tex]4x+5=5x-1\ \ \ |-5\\4x=5x-6\ \ \ |-5x\\-x=-6\to x=6[/tex]

[tex]m\angle A=m\angle B=4\cdot6+5=24+5=29^o[/tex]

We know:

[tex]m\angle A+m\angle B+m\angle C=180^o[/tex]

therefore

[tex]29^o+29^o+m\angle C=180^o\\\\58^o+m\angle C=180^o\ \ \ |-58^o\\\\m\angle C=122^o[/tex]
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