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What are angle RKS and angle PKS?

 

 Sep 15, 2020
 #1
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+4

Ok. So, to do this problem, we first need to find the angle measure of x.

 

 

The problem says that \(m\angle PKS = 3x + 10\) and also \(m\angle SKR = x - 12, m\angle RKP = 62\). We know that the latter two angles sum up to make \(\angle PKS\), so we get the equation:

 

\((x-12)+62=3x+10\)

 

From this, we can solve for x (I'm going to spare you the details of that, since you probably already know how).

 

\(x=20\)

 

Now, since we have the value of x, all we have to do is plug it into \(m\angle PKS = 3x + 10\) and \(m\angle SKR = x - 12\), getting:

 

\(m\angle PKS = 70\)\(m\angle SKR = 8\)

 

I hope this helped! laugh

NOTE: The image was probably not to scale and all that, so this answer will seem incorrect. But if you check it, it will work.

 Sep 15, 2020
 #2
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But why does the angle size in the diagram not match your answer?

Guest Sep 15, 2020
 #3
avatar+12 
+2

As I said in the solution, the picture in the diagram might not be to scale.

ETERNITY  Sep 15, 2020

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