Answer:
The first angle is 37.9° .
The second angle is 52.1°.
Step-by-step explanation:
Complementary angles are the angles whose sum makes 90 degrees.
Let's say our first angle is x:
x = first angle
According to the question, the other angle is 14.2 degrees more than the complementary angle.
Therefore, 14.2° will be added to the other angle.
first angle = x
second angle = x + 14.2°
Since, complementary angle is equal to the sum of the two angles to be 90°
∴ x + x + 14.2° = 90 °
2x + 14.2° = 90 °
2x= 90° -14.2°
2x = 75.8°
x= [tex]\frac{75.8}{2}[/tex]
x = 37.9°
The first angle is 37.9° .
The second angle will be:
x+14.2°
⇒37.9°+ 14.2°
⇒52.1°
