Respuesta :

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°.