Solve.
-Two angles are complementary if the sum of their measures is $90 ^ { \circ }$. If the measure of one angle is given by $\left( \frac { 720 } { y } \right) ^ { \circ }$ and the measure of its complement is given by $\left( \frac { 810 } { y } \right) ^ { \circ }$, find the measures of the two angles.
A) $\frac { 1440 } { 17 } \circ \frac { 1620 } { 17 } \circ$
B) $\frac { 720 } { 17 } \circ \frac { 810 } { 17 }$ 。
C) $\left( \frac { 17 } { 2 } \right) ^ { \circ } , \left( \frac { 163 } { 2 } \right) ^ { \circ }$
D) $17 ^ { \circ } , 73 ^ { \circ }$

Question

Quizplus · Accepted Answer

The sum of the two angles is $90^\circ$, so $\frac{720}{y} + \frac{810}{y} = 90$. Solving this equation for $y$ gives $y = 17$, and substituting back gives the measures of the angles as $\frac{720}{17}^\circ$ and $\frac{810}{17}^\circ$.

Solve -Two Angles Are Complementary If the Sum of Their 90∘90 ^ { \circ }90∘

Solve
-Two Angles Are Complementary If the Sum of Their $90 ^ { \circ }$