1 Answer

Drogel · Answer 1 · 2023-01-24T16:03:04+0000

Given

Two complementary angles are in the ratio 4:6.

To find:

The measure of the smallest angle.

Step-by-step 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

$\begin{gathered} 4x+6x=90 \\ 10x=90 \\ x=(90)/(10) \\ x=9 \end{gathered}$

Hence, the smallest angle is 4x=4×9=36°.

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