The ratio of the measures of an angle to its complement is 3:2. Find the measures of the angles.
(don't give me the answer, just tell me the process, thank you).
Complementary angles add to 90º.
3x + 2x = 90
Solve for x, then 3x and 2x.
yall dum
To find the measures of the angles given the ratio, you first need to understand what a complement of an angle is. Two angles are said to be complementary if their measures add up to 90 degrees.
Let's assume the measure of the angle is 3x. Since the ratio of the angle to its complement is 3:2, the measure of its complement would be 2x.
Now, we set up an equation:
3x + 2x = 90
Next, we combine like terms:
5x = 90
To isolate x, we divide both sides of the equation by 5:
x = 90/5
Finally, we substitute the value of x back into the expressions for the angles:
Angle = 3x = 3(90/5)
Complement = 2x = 2(90/5)
Simplifying the expressions will give you the measures of the angles.