Since two angles are complementary, their measures add up to 90°. Therefore, we have the equation:
(2x) + (3x) = 90
Combining like terms, we get:
5x = 90
Dividing by 5, we find:
x = 18
Substitute x back into the expressions for the angle measures:
2x = 2(18) = 36°
3x = 3(18) = 54°
Therefore, the two complementary angles have measures 36° and 54°.
Two complementary angles have measures (2x)° and (3x)°. What is the value of x and the two angle measures?(2 points)
1 answer