SOLUTION: Hey, I really need your help with this question please, it is confusing me. Find the measures of 2 complementary angles if one angle is 12 more than 2 times the other angle.

Algebra ->  Angles -> SOLUTION: Hey, I really need your help with this question please, it is confusing me. Find the measures of 2 complementary angles if one angle is 12 more than 2 times the other angle.       Log On


   

Question 903240: Hey, I really need your help with this question please, it is confusing me.
Find the measures of 2 complementary angles if one angle is 12 more than 2 times the other angle.
Thank you
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's not phrased in the best way.
Call the complementary angles
+alpha+ and
+90+-+alpha+
-----------------
You are given that:
+alpha+=+2%2A%28+90+-+alpha+%29+%2B+12+
-------------------------------
+alpha+=+180+-+2%2Aalpha+%2B+12+
+3%2Aalpha+=+192+
+alpha+=+64+
and
+90+-+alpha+=+90+-+64+
+90+-+alpha+=+26+
---------------------
The angles are 64 degrees and 26 degrees
check:
+alpha+=+2%2A%28+90+-+alpha+%29+%2B+12+
+64+=+2%2A26+%2B+12+
+64+=+52+%2B+12+
+64+=+64+
OK