Geometry

Question Analysis

This question involves measuring an angle using a protractor when there's no obvious 0 - degree starting alignment. The main focus is correctly using the protractor's scale to determine the angle's size.

 

Key Concept Explanation

A protractor has two scales (inner and outer). When both sides of the angle intersect the protractor away from the 0 - degree mark, we find the difference between the scale values on the same scale at the points where the two sides cross the protractor.

 

Step - by - Step Solution

1. Determine the scale:

Observe that the initial side of the angle is closer to the left - hand side  of the protractor, so we use the outer - ring scale.

The outer - ring scale reading of the initial side is approximately .

The outer - ring scale reading of the terminal side is approximately .

 

2. Calculate the angle:

Since the outer - ring scale increases counter - clockwise, the angle measurement is

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