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)°=
Since the two angles are complementary, they add up to 90 degrees.
Therefore, we can set up the equation: (2x) + (3x) = 90
Combining like terms, we get: 5x = 90
Solving for x, we divide both sides by 5: x = 18
Plugging in the value of x into the two angle measures:
(2x)° = (2*18)° = 36°
(3x)° = (3*18)° = 54°
So, x = 18, (2x)° = 36°, and (3x)° = 54°.