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

Question

x= [ ], (2x)° = [ ]°, and (3x)°= [ ]°

Answer 1

To find the value of x, we can set up an equation based on the fact that the two angles are complementary:

(2x)° + (3x)° = 90°

Combining like terms, we have:

5x° = 90°

Dividing both sides by 5, we find:

x = 18°

Substituting this value back into the angle measures, we have:

(2x)° = 2(18°) = 36°
(3x)° = 3(18°) = 54°

So, x = 18°, (2x)° = 36°, and (3x)° = 54°.