two complementary angles have measures (2x)° and (3x)° . what is the value of x and the two angle measures?
use the base:
x=
(2x)=
(3x)=
To find the value of x, we need to set up an equation using the fact that complementary angles add up to 90 degrees.
Since the two angles are complementary, we have the equation:
(2x) + (3x) = 90
Combining like terms, we get:
5x = 90
Dividing both sides of the equation by 5, we find:
x = 18
Plugging this value back into the original expressions, we can find the measures of the two angles:
(2x) = 2(18) = 36°
(3x) = 3(18) = 54°
So the value of x is 18, and the two angle measures are 36° and 54°.