To find the value of x, we can set up an equation by noting that complementary angles add up to 90 degrees.
Therefore, we have:
(2x) + (3x) = 90
Combining like terms, we get:
5x = 90
To solve for x, we divide both sides of the equation by 5:
x = 18
Therefore, the value of x is 18.
Substituting this value back into the expressions for the angle measures:
(2x)° = (2 * 18)° = 36°
(3x)° = (3 * 18)° = 54°
So, the value of x is 18, the measure of (2x)° is 36°, and the measure of (3x)° is 54°.
Two complementary angles have measures (2x)° and (3x)°. What is the value of x and the two angle measures?
x= ___, (2x)°= ___°, and (3x)°= ___
1 answer