Two angles are complementary. The sum of the first angle plus twice the second angle is $153^{\circ}$. Find the measures of the angles.
A) $1^{\circ}, 76^{\circ}$
B) $22^{\circ}, 68^{\circ}$
C) $27^{\circ}, 63^{\circ}$
D) $117^{\circ}, 63^{\circ}$

Question

Quizplus · Accepted Answer

Complementary angles sum up to $90^{\circ}$. Let the first angle be $x$ and the second angle be $y$. We have $x + y = 90$ and $x + 2y = 153$. Solving these equations simultaneously, we find $x = 27^{\circ}$ and $y = 63^{\circ}$.

Two Angles Are Complementary 153∘153^{\circ}153∘ Find the Measures of the Angles

Two Angles Are Complementary $153^{\circ}$ Find the Measures of the Angles