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# I don't understand how to solve

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What are angle RKS and angle PKS? Sep 15, 2020

#1
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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! 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
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As I said in the solution, the picture in the diagram might not be to scale.

ETERNITY  Sep 15, 2020