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Question

Which one of the following is/are correct?


A

x + y + z = A + z

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B

x + y + z = A

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C

2A > x + y

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D

A > x + y

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Solution

The correct options are
A

x + y + z = A + z


C

2A > x + y


A is an exterior angle, its measure is equal to the sum of the measures of the 2 interior angles to which it is not adjacent, namely, x and y.

So, A = x + y ----------------------------------------------------- (1)

Adding z to both the sides of the equation,

A + z = x + y + z

Also, from (1) 2A > x + y


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