At first glance, this angle can be surprisingly tricky.
The two lines do not form a familiar shape like a right angle or a straight line, so it is easy to choose an answer based only on how the picture looks.
The key is to slow down and look carefully at the shaded angle.
The question gives us four choices: 190°, 75°, 100°, and 160°.
Before choosing one, we need to understand what kind of angle we are looking at.
An angle measures the amount of rotation from one ray to another.
A right angle is 90°.
An acute angle is less than 90°.
An obtuse angle is greater than 90° but less than 180°.
A straight angle is exactly 180°.
A reflex angle is greater than 180°.
Now look at the shaded region in the picture.
It is clearly much wider than a right angle.
That immediately makes 75° a poor choice because 75° is an acute angle.
The shaded region does not look narrow enough to be 75°.
Next, consider 100°.
This is technically an obtuse angle, so it is more reasonable.
However, the shaded angle appears considerably wider than 100°.
There is a large opening between the two rays, and it is closer to a wide obtuse angle.
Now we have 160°.
This is also an obtuse angle, but it is much closer to the size suggested by the drawing.
The important word in the question is “closest.”
That means we do not necessarily need to find an exact angle from measurements given in the picture.
Instead, we need to estimate the angle shown and select the answer that is numerically closest.
If we visually estimate the shaded angle, it is roughly in the 130°–140° range.
Among the choices, 160° is closer to that estimate than 100°.
For example, if the angle were about 135°, the difference from 160° would be about 25°.
The difference from 100° would be about 35°.
So 160° is the better choice.
What about 190°?
That answer is also worth checking.
An angle of 190° would be slightly larger than a straight angle of 180°.
That would make it a reflex angle.
But the shaded region in the picture is clearly less than a full half-turn.
So 190° does not fit the shaded region.
This leaves us with the best answer.
The diagram is mainly testing whether you can recognize the approximate size of an angle rather than simply looking for a familiar 90° corner.
The safest approach is to identify whether the angle is acute, right, obtuse, straight, or reflex first.
Then compare the reasonable choices by size.
Here, the shaded angle is a wide obtuse angle.
It is not small enough to be 75°.
It is wider than 100°.
It is not greater than 180°, so 190° does not fit.
That makes 160° the closest answer.
Final Answer: D) 160°
The drawing may not be perfectly to scale, so the goal is to choose the option that is closest to the angle shown, rather than assuming the picture gives an exact measurement.
