Question

How do I work out this problem?

Answer 1

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°:


`180=R+P+Q`

`180=R+40+105`

`180=R+145`

`R=180-145`

`R=35`

Now, we can use the fact that a strait line (like SRQ) is also 180°:

`SRQ=180-R`

`SRQ=180-35`

`SRQ=145` °