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Answer:

In a right triangle, the two acute angles are complementary, which means they add up to 90 degrees. If the ratio of these acute angles is 3:7, you can set up an equation to find the measures of these angles.

Let the two acute angles be 3x and 7x (where x is a positive constant).

According to the given ratio:

3x + 7x = 90

Combine like terms:

10x = 90

Now, divide both sides by 10 to solve for x:

x = 9

Now that we have found the value of x, we can find the measures of the acute angles:

- The first acute angle is 3x = 3 * 9 = 27 degrees.

- The second acute angle is 7x = 7 * 9 = 63 degrees.

So, the measures of the two acute angles in the right triangle are 27 degrees and 63 degrees.

Step-by-step explanation:

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