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

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mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2m<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

LifeIsADangerousGame
 3 years ago
Best ResponseYou've already chosen the best response.0Could you explain it a little more? I don't really understand..

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1359930331078:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2The two angles I marked are called vertical angles. Vertical angles are congruent. That means they have the same measure. dw:1359930401555:dw

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2Since 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
 3 years ago
Best ResponseYou've already chosen the best response.2Do you follow so far?

LifeIsADangerousGame
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, so it's 3x  40 = 2x  10 +40 +40 3x = 2x + 30 2x 2x x = 30 Is that right?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2Good. Now since the measures of one angle is 3x  40, and x = 30, what is the measure of the angle?

LifeIsADangerousGame
 3 years ago
Best ResponseYou've already chosen the best response.0No wait, sorry it's 3(30)  40

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1359930857941:dw

LifeIsADangerousGame
 3 years ago
Best ResponseYou've already chosen the best response.0so that's 50 degrees?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1359930986373:dw

LifeIsADangerousGame
 3 years ago
Best ResponseYou've already chosen the best response.0y would equal 130 degrees

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2Correct, and that's what you are looking for.

LifeIsADangerousGame
 3 years ago
Best ResponseYou've already chosen the best response.0Awesome! Thank you so much :D It looked so complicated o.o

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.2If you break down the problem into simple steps, it's not that complicated. You're welcome.
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