Carcass wrote:
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In the figure, w = ?
(A) 30
(B) 32
(C) 40
(D) 52
(E) 60
Since angles on a line must add to 180°, we know that x° + 150° = 180°, which means x = 30.
Since angles a triangle must add to 180°, we know that z° + 30° + 90° = 180°, which means z = 60.
Since opposite angles are equal, we know that z° = y°, which means y = 60.
Finally, since angles a triangle must add to 180°, we know that w° + 60° + 90° = 180°, which means w = 30.
Answer: A