Question

5. Two complementary angles are in the ratio 1:2. The smaller of the two angles
is________

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Answer 1

The previous answer is incorrect if you’re asking for the smaller of the two complementary angles
The answer would be 30 degrees
1:2 x 30 = 30:60 and 30+60 = 90
90 degrees is the measurement of a complementary angle therefore the smaller angle is

30 degrees

Answer 2

Given:

Two complementary angles are in the ratio 1:2. The smaller of the two angles

is________.

Solution:

Know that the sum of the complementary angles is $\[90^\circ \]$.

Assume that the measure of smaller angle is $x$,

Therefore, according to the question,

$\[\begin{array}{l} \Rightarrow x + 2x = 90^\circ \\ \Rightarrow 3x = 90^\circ \\ \Rightarrow x = 30^\circ \end{array}\]$

Hence, if two complementary angles are in the ratio 1:2. Then the smaller of the two angles  is $\[30^\circ \]$.