Which of the following relation is true?

x + y + z = A + z

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x + y + z = A

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x + y + z = z

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A + z = x + y

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Solution

The correct option is A
x + y + z = A + z

If $∠$ 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 . After this, add $∠$ z to both the sides.
This gives x + y + z = A + z

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