SOLUTION: pg. 166. One of two complementary angles measures 30 degrees more than three times the other. Find the measure of each angle.

Algebra.Com
Question 91403This question is from textbook Glencoe Algebra 1
: pg. 166. One of two complementary angles measures 30 degrees more than three times the other. Find the measure of each angle. This question is from textbook Glencoe Algebra 1

Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
X+Y=90 OR X=90-Y
X=3Y+30 NOW SUBSTITUTE (90-Y) FOR X & SOLVE FOR Y
90-Y=3Y+30
-Y-3Y=30-90
-4Y=-60
Y=-60/-4
Y=15 ANSWER.
X=3*15+30
X=45+30
X=75 ANSWER.
PROOF
15+75=90
90=90

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
One of two complementary angles measures 30 degrees more than three times the other. Find the measure of each angle.
-------------
Let one of the angles have measure "x"
The other has measure "90-x"
---------------
EQUATION:
90-x = 3x+30
4x = 60
x = 15 degrees (one of the angles)
90-x = 90-15 = 75 degrees (the complementary angle)
==============
Cheers,
Stan H.

RELATED QUESTIONS

one of the two complementary angles measures 30 degrees more than three times the other.... (answered by stanbon)
One of two complementary angles measures 30° more than three times the other. What is... (answered by venugopalramana)
find the measure of two complementary angles if one angles is 10 degrees more than three... (answered by rfer)
Two angles are complementary. One angle measures 10 degree more than three times the... (answered by nerdybill)
one of two complimentary angles measures 30 more than three times the other. Find the... (answered by pkgupta_mathstutor@yahoo.co.in)
two angles are complementary. one angle measures 26 degrees more than the other. find the (answered by solver91311)
find the measure of two complementary angles if one is 10 degrees more than three times... (answered by Cromlix)
two angles are complementary. if one measures 18 degrees more than twice the measure of... (answered by oberobic)
Two angles are complementary. One angle measures 15 degrees more than 2 times the measure (answered by stanbon)