Two complementary angles have measures (2x)° and (3x)°. What is the value of x and the two angle measures?

x= ___, (2x)°= ___°, and (3x)°= ___

1 answer

To find the value of x, we can set up an equation by noting that complementary angles add up to 90 degrees.

Therefore, we have:

(2x) + (3x) = 90

Combining like terms, we get:

5x = 90

To solve for x, we divide both sides of the equation by 5:

x = 18

Therefore, the value of x is 18.

Substituting this value back into the expressions for the angle measures:

(2x)° = (2 * 18)° = 36°

(3x)° = (3 * 18)° = 54°

So, the value of x is 18, the measure of (2x)° is 36°, and the measure of (3x)° is 54°.