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 to get option A.

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Similar questions

∣ ∣ ∣ ∣ \begin{matrix} x p + y & x & y y p + z & y & z 0 & x p + y & y p + z \end{matrix} ∣ ∣ ∣ ∣ = 0,

∣ ∣ ∣ ∣ \begin{matrix} x p + y & x & y y p + z & y & z 0 & x p + y & y p + z \end{matrix} ∣ ∣ ∣ ∣ = 0

A = {x, y, z}

R = {(x, x), (y, y), (z, z), (z, x), (z, y)}

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