2 angles are Complementary, if the sum of their measures = 90°.
Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.
Let A be the larger angle.
"the larger angle is six more than three times the smaller angle."
can be 'translated' into algebra as: a = 6 + 3b
Also, since A and B are complementary, we have a+b=90°.
substitute a=6+3b in the second equation:
a+b=90°
(6°+3b+b)=90°
4b=90°-6°
b=84°/4=21°
Then, a = 90°-21°=69°
Answer: a= 69°, b=21°
