A triangle has two corners of angles #pi /12# and #pi/12 #. What are the complement and supplement of the third corner?

Answer 1
The third corner is #pi-pi/12-pi/12=pi-2*pi/12=pi-pi/6=5*pi/6#
The supplement is #pi-5*pi/6=pi/6#

There is no complement.

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Answer 2

The sum of the angles in a triangle is always π radians (180 degrees). Given that two angles of the triangle are π/12 radians each, the third angle can be found by subtracting the sum of the given angles from π radians.

The complement of an angle is the difference between the angle and a right angle (π/2 radians or 90 degrees).

The supplement of an angle is the difference between the angle and a straight angle (π radians or 180 degrees).

Let's denote the third angle of the triangle as θ.

Since the sum of the angles in a triangle is π radians:

θ = π - (π/12 + π/12) θ = π - (2 * π/12) θ = π - (π/6) θ = (6π/6) - (π/6) θ = 5π/6

The complement of the third angle is: Complement = π/2 - θ Complement = π/2 - 5π/6 Complement = (3π/6) - (5π/6) Complement = -2π/6 Complement = -π/3

The supplement of the third angle is: Supplement = π - θ Supplement = π - 5π/6 Supplement = (6π/6) - (5π/6) Supplement = π/6

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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