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What is the measurement of this angle

What is the measurement of this angle-example-1

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Answer:

120 degrees.

Explanation:

The numbers on the far-out semicircle represent the angle size in respect to 0.

If we were to take two arrows, one directed at 0 and the other directed at 50, then the angle between those two arrows would be 50 degrees.

To find an angle between two arrows when neither of them point at 0, we'll construct another arrow that points at 0, and find the angles between that arrow and each of the other arrows. The first arrow (the leftmost one) indicates that the angle between itself and the arrow pointed at 0 is 35 degrees. For the second arrow (the rightmost one), that angle would be 155 degrees.

Finally, to get the angle between the two arrows, we'll find the difference between the larger and the smaller angles:
155^(\circ) - 35^(\circ) = 120^(\circ)

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