Thread: Please Help! angle word problem

Please help me on this prob, it is really hard! for me of course, I really need it urgently

1.) The sum of the measures of two obtuse angles is 215. The sum of the 3/5 of the supplement of the smaller angle and 2/3 of the supplement of the larger angle is 91. Find the measures of the angle.

*note* if 215 wont work out, try using 2/5, I'm not sure because the writing of my classmate is confussing

thanks........

Originally Posted by Aussieboy

Please help me on this prob, it is really hard! for me of course, I really need it urgently

1.) The sum of the measures of two obtuse angles is 215. The sum of the 3/5 of the supplement of the smaller angle and 2/3 of the supplement of the larger angle is 91. Find the measures of the angle.

*note* if 215 wont work out, try using 2/5, I'm not sure because the writing of my classmate is confussing

thanks........

Call the first angle A and the second angle B. Let A < B.

We know that
A + B = 215


The second equation simplifies a bit:




The first equation says:


So inserting this into the second equation gives:














(Which is, in fact, an obtuse angle.)

Thus


So A = 95 degrees and B = 120 degrees.

-Dan