Mathematics
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OpenStudy (anonymous):
Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, and
m∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
∠A and ∠B are complementary angles, so
m∠A + m∠B = 90
(3x+5)+(2x-15) = 90
solve for x
jimthompson5910 (jim_thompson5910):
after you find x, you can plug it into the two equations to find m∠A and m∠B
OpenStudy (anonymous):
i dont get it
jimthompson5910 (jim_thompson5910):
are you able to solve (3x+5)+(2x-15) = 90 for x?
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OpenStudy (anonymous):
no i dont know how
jimthompson5910 (jim_thompson5910):
(3x+5)+(2x-15) = 90
3x+5+2x-15 = 90
5x - 10 = 90
5x = 90+10
5x = 100
x = ??
OpenStudy (anonymous):
16?
OpenStudy (anonymous):
no
20
jimthompson5910 (jim_thompson5910):
no, but close
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OpenStudy (anonymous):
sorry
jimthompson5910 (jim_thompson5910):
yep x = 20
no worries
jimthompson5910 (jim_thompson5910):
so if x = 20, then what is m∠A
OpenStudy (anonymous):
i dont know i jsut learned this today and im so confused
jimthompson5910 (jim_thompson5910):
its ok, since m∠A = 3x+5 and we know that x = 20, we can plug it in to get
m∠A = 3x + 5
m∠A = 3*20 + 5
m∠A = ??
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OpenStudy (anonymous):
65?
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
ok thank you so much
jimthompson5910 (jim_thompson5910):
how about m∠B ?
jimthompson5910 (jim_thompson5910):
you're welcome
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OpenStudy (anonymous):
wait how do we find m∠B?
jimthompson5910 (jim_thompson5910):
m∠B = 2x - 15
x = 20
so...?
OpenStudy (anonymous):
oh i see how you got that now i get how to find it it would be 25 i get it now
jimthompson5910 (jim_thompson5910):
yep, so
x = 20
m∠A = 65
m∠B = 25
jimthompson5910 (jim_thompson5910):
as a check, notice how m∠A and m∠B add to 90 degrees, that proves they are complementary
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OpenStudy (anonymous):
i need help with this too
jimthompson5910 (jim_thompson5910):
go ahead and post a new question off to the left and tag me in it if you still need help
OpenStudy (anonymous):
thank you