An angle is thrice its complementary angle. What is the measure of the angle?
- A22.5
∘ - B135
∘ - C45
∘ - D67.5
∘
Solution & Step-by-step Explanation
Let the measure of the angle be x.
The complementary angle of x is (90
∘
−x).
According to the given condition:
x=3(90
∘
−x)
x=270
∘
−3x
4x=270
∘
x=
4
270
∘
=67.5
∘
The complementary angle of x is (90
∘
−x).
According to the given condition:
x=3(90
∘
−x)
x=270
∘
−3x
4x=270
∘
x=
4
270
∘
=67.5
∘