Solve the problem.
-Two angles have a sum of $81 ^ { \circ }$. Their difference is $15 ^ { \circ }$. Find the angles.
A) $67 ^ { \circ }$ and $14 ^ { \circ }$
B) $35 ^ { \circ }$ and $50 ^ { \circ }$
C) $48 ^ { \circ }$ and $33 ^ { \circ }$
D) $46 ^ { \circ }$ and $35 ^ { \circ }$

Question

Quizplus · Accepted Answer

Let the angles be $x$ and $y$, with $x > y$. We have $x + y = 81^\circ$ and $x - y = 15^\circ$. Adding these equations gives $2x = 96^\circ$, so $x = 48^\circ$. Substituting $x = 48^\circ$ into $x + y = 81^\circ$ gives $y = 33^\circ$.

Solve the Problem 81∘81 ^ { \circ }81∘ Their Difference Is

Solve the Problem $81 ^ { \circ }$ Their Difference Is