Two angles are complementary. One contains 20° more than the other. Find both angles.
x = 1st angle
x + 20 = 2nd angle
x + x + 20 = 90
2x = 70
x = 35
35, 55
To find the two angles, let's assume that one angle is "x" degrees.
According to the problem, the other angle is 20° more than the first angle, so we can express it as "x + 20" degrees.
Now, since two angles are complementary, their sum adds up to 90°.
So, we can form an equation: x + (x + 20) = 90.
Simplifying the equation: 2x + 20 = 90.
Subtracting 20 from both sides: 2x = 70.
Dividing both sides by 2: x = 35.
Therefore, one angle is 35°, and the other angle (x + 20) is 35 + 20 = 55°.
Hence, the two angles are 35° and 55°.