Question

Check answers gold medal:

If the measure of MSN = 137 DEGREES, then which of the following statements is true?
OSN is less than 137 degrees
OSN equal to 137 degrees <--- Answer
MSL + OSN = 180 DEGREES
MSL = SLO + MSN

Which of the following statements is false?
LSM and MSN are adjacent angles
LSM and MSN form of linear pair of angles
LSM and MSN are vertical angles <--- answer
LSM + MSN = 180 DEGREES

which angle is supplemntary to LSM? Answer: MSN

Answer 1

Oh no, my friend. Your first answer is incorrect :)

Answer 2

So we have the measurement of one of the angles, don't we?
Good thing. and we are asked to find the angle of it's adyacent.
But since they form a diagonal on this cuadrilateral, their sum must be 180º.

So:
\[<MSN+<OSN=180º\]
so far, so good. but the measure of MSN is 137.
then:
\[<OSN=180-137=43º\]
So we can conclude it's less than 137.

Answer 3

We have to comprove whether it is or not, by applying a little math.
We found that it's 43º, so I'll ask you.
Is 43º less than 137º?

Answer 4

no no no no,
The diagram shows, but does not prove.

Answer 5

Yes, to help you visualize the problem, not solve.
Now, imagine if <MSN had that measurement. Thanks to the diagram we can make ourselves an idea of what it would like if that angle had that measurement.
In mathematics, we are certain of something when we prove it and not draw it, that's why using the diagram to solve the problem is wrong.

Was that explaination clear?

Answer 6

Oh, then it's 137, because they are vertical angles.