We use the concept of slope here. If the angle had been 45 degrees then a = b.

\(Slope = \frac{rise}{run} = \frac{b}{a}\)

Since the angle is greater than 45 so, \(rise > run\).

OA,B


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How you confirm that Angle is greater than 45 and rise is greater than run?

It is given in the question that the angle is 50 degrees.

So slope is also equivalent to tan(theta). Basic trigonometry. Tan(45) = 1. Tan(50) is greater than Tan(45).



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An easier way to explain the answer:
1- imagine a triangle, with angles 50, 90 , 40. The length of the side that is opposite to 50 is greater than the side with angle 40.

Y represents the length of the side opposite to 50, and the x represents the side that is opposite to 40.

We can use the following property:



Create a right triangle by drawing a perpendicular line from the point to the x-axis



Since 40° is the smallest angle, the side opposite 40° must be the shortest side.
So, the side with length a must be the shortest.

This means a < b

Answer: B

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y = x creates a 45 degree angle. If the angle is greater than 45 degrees, you know that the point (a, b) will be higher since a bigger angle corresponds to a larger side. Therefore, b > a and B is the correct answer.