Given
Two complementary angles are in the ratio 4:6.
To find:
The measure of the smallest angle.
Explanation:
It is given that,
Two complementary angles are in the ratio 4:6.
Then,
Let 4x and 6x be the two complementary angles.
And since the sum of the complementary angles is 90 degrees.
Then,4
[tex]\begin{gathered} 4x+6x=90 \\ 10x=90 \\ x=\frac{90}{10} \\ x=9 \end{gathered}[/tex]Hence, the smallest angle is 4x=4×9=36°.
