SOLUTION: find the measurement of two complementary angles if one angle is 6 degrees more than 3 times the other angle.

Algebra.Com
Question 224997: find the measurement of two complementary angles if one angle is 6 degrees more than 3 times the other angle.
Answer by LtAurora(115)   (Show Source): You can put this solution on YOUR website!
Complementary angles add up to 90 degrees.

So, from the information given, we can relate angles A and B:

Plug this back into the first equation:

Combine like terms:

Move the 6 to the other side:

Divide both sides by 4:

So, we know one angle, plug this back into the equation we made for the relation:


And since , we know we've gotten the correct answer.

RELATED QUESTIONS

Find the measures of two complementary angles if one angle is 14 degrees more than 3... (answered by nerdybill)
Find the measures of two complementary angles if one angle is 10 degrees more than 4... (answered by ReadingBoosters)
find the measures of two complementary angles if one angle is 10 degrees more than four... (answered by Fombitz)
find the measures of two complementary angles if one angle is 18 degrees more than 3... (answered by Timnewman)
Recall that two angles are complementary if the sum of Their measures is 90 degrees.... (answered by josmiceli)
find the measure of two complementary angles if one angle is15 degrees more than four... (answered by Fombitz)
find the measures of 2 complementary angles if one angle is 12 degrees more than 2 times... (answered by stanbon)
Find the measures of two complementary angles if one angle is 15 degrees more than two... (answered by stanbon)
Find the measure of two complementary angles if one angle is 9 deg more than two times... (answered by JBarnum)