Answer:
Explanation:
Two angles are complementary if their sum is equal to 90 degrees. So, we can write an equation:
4x + 14 + 3x - 15 = 90
Simplifying and solving for x, we get:
7x - 1 = 90
7x = 91
x = 13
Now, we can use x to find the measures of the two angles:
The first angle is 4x + 14 = 4(13) + 14 = 66 degrees.
The second angle is 3x - 15 = 3(13) - 15 = 24 degrees.
Therefore, the measures of the two angles are 66 degrees and 24 degrees.