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wlad13 [49]
4 years ago
8

3 times the complement of an angle is 30 more than the supplement of the original angle. What is the measure of the angle?

Mathematics
1 answer:
taurus [48]4 years ago
3 0
<span>3 times the complement of an angle is 30 more than the supplement of the original angle.

so if the angle is x then its complement is 90-x & supplement is 180-x
so 3(90-x)=(180-x)+30
or 270-3x=210-x

or 3x-x=270-210
or 2x=60
or x=30 the original angle 


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

</span>
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----------------------------------------------
Define x:
----------------------------------------------
Let x be the number of students in the second class:
⇒second class = x

There are 3 more students in the first class than in the second class:
⇒first class = x + 3

There are 2 more students in the third class than in the second class:
⇒third class = x + 2

----------------------------------------------
Expression for each class:
----------------------------------------------
First class = x + 3
Second class = x
Third class = x + 2

----------------------------------------------
Expression for total number of students:
----------------------------------------------
Total = x + 3 + x + x + 2
Total =  3x + 5

----------------------------------------------
Find x:
----------------------------------------------
There are 80 students in total, so
3x + 5 = 80
3x = 75
x = 25

----------------------------------------------
Find the number of students in each class:
----------------------------------------------
First class = x + 3 = 25 + 3 = 28
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--------------------------------------------------------------------------------------------
Answer: There are 25 students in the second class.
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