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)°= °
To find the value of x, we can set up an equation since we know that complementary angles add up to 90 degrees.
(2x)° + (3x)° = 90°
Combining like terms:
5x° = 90°
Now we can divide both sides of the equation by 5 to solve for x:
5x° / 5 = 90° / 5
x° = 18°
So the value of x is 18 degrees.
Now we can substitute the value of x into the expressions for the angle measures:
(2x)° = (2*18)° = 36°
(3x)° = (3*18)° = 54°
Therefore, x = 18, (2x)° = 36°, and (3x)° = 54°.