heytherejeff
heytherejeff heytherejeff
  • 08-05-2018
  • Mathematics
contestada

How do I work out this problem?

How do I work out this problem class=

Respuesta :

twvogels
twvogels twvogels
  • 09-05-2018
First we need to find ∡PRQ. To do this we can use the fact that the sum of the interior angles of a triangle is 180°:

[tex]180=R+P+Q[/tex]
[tex]180=R+40+105[/tex]
[tex]180=R+145[/tex]
[tex]R=180-145[/tex]
[tex]R=35[/tex]

Now, we can use the fact that a strait line (like SRQ) is also 180°:
[tex]SRQ=180-R[/tex]
[tex]SRQ=180-35[/tex]
[tex]SRQ=145[/tex] °
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