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- LifeIsADangerousGame

Could someone help me with this Geometry question please?

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- LifeIsADangerousGame

Could someone help me with this Geometry question please?

- schrodinger

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- LifeIsADangerousGame

- mathstudent55

m

- LifeIsADangerousGame

Could you explain it a little more? I don't really understand..

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- mathstudent55

|dw:1359930331078:dw|

- mathstudent55

The two angles I marked are called vertical angles. Vertical angles are congruent. That means they have the same measure.
|dw:1359930401555:dw|

- mathstudent55

Since the measure of one angle is 3x - 40 and the other one is 2x - 10, and the measures are equal, that means
3x - 40 = 2x - 10
If you solve this equation, you get the value of x.

- mathstudent55

Do you follow so far?

- LifeIsADangerousGame

Yes, so it's
3x - 40 = 2x - 10
+40 +40
3x = 2x + 30
-2x -2x
x = 30
Is that right?

- mathstudent55

Good.
Now since the measures of one angle is 3x - 40, and x = 30, what is the measure of the angle?

- LifeIsADangerousGame

No wait, sorry
it's 3(30) - 40

- mathstudent55

|dw:1359930857941:dw|

- LifeIsADangerousGame

so that's 50 degrees?

- mathstudent55

right

- mathstudent55

|dw:1359930986373:dw|

- LifeIsADangerousGame

y would equal 130 degrees

- mathstudent55

Correct, and that's what you are looking for.

- LifeIsADangerousGame

Awesome! Thank you so much :D It looked
so complicated o.o

- mathstudent55

If you break down the problem into simple steps, it's not that complicated.
You're welcome.

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