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Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT? A) m∠QRT = m∠RST – m∠QRS B) m∠QRS = m∠RST – m∠QRT C) m∠RST = m∠QRT – m∠QRS D) m∠QRS = m∠RST

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JeanaShupp

Answer: C) m∠RST = m∠QRT – m∠QRS

Step-by-step explanation:

  • According to the Angle subtraction postulate " If an angle is subtracted from two equal angles, then the differences are equal."

Given equation : m∠QRS + m∠RST = m∠QRT

i.e. Combined value of m∠QRS and m∠RST is equal to m∠QRT.

If we subtract m∠QRS from both the sides, then by using Angle subtraction postulate, we will have

m∠QRS + m∠RST - m∠QRS = m∠QRT-m∠QRS

⇒m∠RST = m∠QRT – m∠QRS

That means the correct option is C).

Answer:C

Step-by-step explanation:

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