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## LifeIsADangerousGame 2 years ago Could someone help me with this Geometry question please?

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1. LifeIsADangerousGame

2. mathstudent55

m<PJK = m<DJB bec of vertical angles. Substitute the expressions with x and solve for x. Then use x to get the measure of angle PJK Then m<PJK + m<KJD = 180

3. LifeIsADangerousGame

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

4. mathstudent55

|dw:1359930331078:dw|

5. mathstudent55

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

6. 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.

7. mathstudent55

Do you follow so far?

8. LifeIsADangerousGame

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

9. mathstudent55

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

10. LifeIsADangerousGame

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

11. mathstudent55

|dw:1359930857941:dw|

12. LifeIsADangerousGame

so that's 50 degrees?

13. mathstudent55

right

14. mathstudent55

|dw:1359930986373:dw|

15. LifeIsADangerousGame

y would equal 130 degrees

16. mathstudent55

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

17. LifeIsADangerousGame

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

18. mathstudent55

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

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