Find the angle which exceed its complementary by 30°.
Complementary Angles are the ones that add up to 90 degrees.
Answer: 60° is the angle that exceeds its complementary angle by 30°.
Let's find the angle which exceeds its complementary by 30°.
Let's consider two angles which sum up to 90°
Let the first of the two angles be x°.
Therefore, the second angle will be (90 - x)°. (Since they are complementary angles)
According to the question, the first angle exceeds its complementary by 30°.
x = (90 - x) + 30° (since the second angle is complementary of the first angle)
2x = 120
x = 60°.
Thus, the angle is 60° which exceeds its complementary by 30°.