Ask your own question, for FREE!
Mathematics 16 Online
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.

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?

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

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 = ??

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

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

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

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!