If A and B are vertical angles, and A = (2x - 11)° , and B = (x + 7)°, find x.
Question
If A and B are vertical angles, and A = (2x - 11)° , and B = (x + 7)°, find x.
Solution
Vertical angles are always equal. Therefore, we can set the two expressions for angles A and B equal to each other and solve for x.
(2x - 11)° = (x + 7)°
First, subtract x from both sides to get:
2x - x = 7 + 11
This simplifies to:
x = 18
So, the value of x that satisfies the equation is 18.
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