Solve.
-Two angles are complementary if their sum is $90 ^ { \circ }$. If the measure of the first angle is $x ^ { \circ }$, and the measure of the second angle is $( 3 x - 2 ) ^ { \circ }$, find the measure of each angle.
A) 1 st angle $= 22 ^ { \circ } ; 2$ nd angle $= 68 ^ { \circ }$
B) 1 st angle $= 23 ^ { \circ } ; 2$ nd angle $= 67 ^ { \circ }$
C) 1 st angle $= 22 ^ { \circ }$; 2nd angle $= 64 ^ { \circ }$
D) 1 st angle $= 31 ^ { \circ } ;$ 2nd angle $= 59 ^ { \circ }$

Question

Quizplus · Accepted Answer

Since the angles are complementary, their sum equals $90^\circ$. Setting up the equation $x + (3x - 2) = 90$ and solving for $x$ gives $x = 23$, making the first angle $23^\circ$ and the second angle $67^\circ$.

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

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-Two Angles Are Complementary If Their Sum Is $90 ^ { \circ }$