A triangle has two corners of angles #pi /12# and #pi/12 #. What are the complement and supplement of the third corner?
There is no complement.
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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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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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- How do you prove angles are supplementary?

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