Geometry

Question Analysis

This question is about measuring an angle using a protractor without a clear 0 - degree start. The main focus is correctly using the protractor's scale to determine the angle's measure.

 

Key Concept Explanation

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

 

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 should 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 in the counter - clockwise direction, the measurement of the angle is

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