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

x=__, (2x)°=__ °, and (3x)°= __°

1 answer

To find the value of x, we need to set up an equation where the sum of the two angle measures is equal to 90 degrees since complementary angles add up to 90 degrees.

(2x)° + (3x)° = 90°

Combining like terms:
5x° = 90°

Dividing both sides of the equation by 5:
x = 18°

Substituting x back into the angle measures:
(2x)° = (2)(18°) = 36°
(3x)° = (3)(18°) = 54°

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