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

Question

x = __ , (2x)° = __° and x = __ , (3x) = __°

Answer 1

To find the value of x, we can set up an equation based on the fact that the sum of complementary angles is 90 degrees.

(2x)° + (3x)° = 90°

Combine like terms:

5x° = 90°

Divide both sides by 5:

x = 18°

So, the value of x is 18 degrees.

To find the angle measures, we can substitute this value back into the expressions for the angles:

(2x)° = (2 * 18)° = 36°

(3x)° = (3 * 18)° = 54°

So, the two angle measures are 36° and 54°.