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The option, i, is based on the given facts of the triangle. Not the other way around! So based on the facts given about the triangle, we know there is only 1 value for x, and that is 65. Therefore, option i must be true, since 65>50.
The option, i, is based on the given facts of the triangle. Not the other way around! So based on the facts given about the triangle, we know there is only 1 value for x, and that is 65. Therefore, option i must be true, since 65>50.
Another way to think about it is that option ii doesn't explicitly state a certain length, but we know that, based on the diagram of the triangle and it's angles, the length must be greater than 10. In the same way, we know that, based on the diagram, the angle x must be greater than 50 degrees.
From the given info x+x+x-15 = 180 => x = 65, and we know AB =10. So I is true, solving for AC will tell us AC < 10 => II is true. But III is false Hence overall the ans is Option 3 (I and II only)
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