Two angles are complementary. One contains 30° more than the other. Find both angles
x + x+30 = 90
now solve for x
To find the two angles, let's assign variables to each angle.
Let x be the measure of one angle, and let y be the measure of the other angle.
According to the problem, we know that two angles are complementary, which means they add up to 90 degrees. So we can write the equation:
x + y = 90
We also know that one angle contains 30 degrees more than the other. So we can write another equation:
x = y + 30
Now we have a system of equations. We can solve for the values of x and y by substituting the second equation into the first equation:
(y + 30) + y = 90
Combine like terms:
2y + 30 = 90
Subtract 30 from both sides of the equation:
2y = 90 - 30
2y = 60
Divide both sides of the equation by 2:
y = 30
Now substitute the value of y back into the second equation to solve for x:
x = y + 30
x = 30 + 30
x = 60
Therefore, the two angles are 60 degrees and 30 degrees.