Question

Which one of the following is/are correct?

• A. x + y + z = A + z
• B. x + y + z = A
• C. 2A > x + y
• D. A > x + y

Answer 1

Answer: (A), (C)

The correct options are
A

x + y + z = A + z

C

2A > x + y

$\angle$ 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, $\angle$x and $\angle$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