Answer: 36°
Step-by-step explanation:
Two angles A and B are complementary if:
A + B = 90°.
In this case, we know that one angle is 2/3 of its complement.
Then we can write this as:
A = (2/3)*B
Now we can replace this in the equation ( A + B = 90°) and solve for B (remember that we want to find the value of A, the original angle):
(2/3)*B + B =90°
(2/3)*B + (3/3)* = 90°
(5/3)*B = 90°
B = (3/5)*90° = 54°
And the other angle can be found with the equation (A = (2/3)*B)
then we get:
A = (2/3)*54° = 36°
The magnitude of the angle is 36°.
