Carcass wrote:
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In the figure shown, what is the value of x ?
(A) 30
(B) 32
(C) 35
(D) 40
(E) 47
For a moment, let's let y = the missing angle as shown below:
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Since the three angles in a triangle must add to 180°, we can write: x + y + 90 = 180
Subtract 90 from both sides: x + y = 90
Subtract x from both sides: y = 90 - x
So our diagram becomes:
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Since angles on a line must add to 180°, we can write: (
90 - x) + (2x + 60) = 180
Simplify the left side of the equation: x + 150 = 180
Solve: x = 30
Answer: A