Problem Description:
The image shows a protractor with several angles marked. The task is to measure the angles formed by the lines extending from the center of the protractor (point O) to points P, Q, R, S, T, and U. We need to determine the measures of these angles using the protractor.
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Solution:
#### Step 1: Understand the Protractor
- The protractor is divided into two scales: an outer scale (measured clockwise from 0° to 180°) and an inner scale (measured counterclockwise from 0° to 180°).
- The zero point (0°) is at the bottom center of the protractor, aligned with the baseline (line OP).
#### Step 2: Identify the Angles
We need to measure the following angles:
1.
∠POQ: The angle between lines OP and OQ.
2.
∠POR: The angle between lines OP and OR.
3.
∠POS: The angle between lines OP and OS.
4.
∠POT: The angle between lines OP and OT.
5.
∠POU: The angle between lines OP and OU.
#### Step 3: Measure Each Angle Using the Protractor
1.
∠POQ:
- Line OQ extends to the right and aligns with the 60° mark on the outer scale.
- Therefore, ∠POQ = 60°.
2.
∠POR:
- Line OR extends vertically upward and aligns with the 90° mark on the outer scale.
- Therefore, ∠POR = 90°.
3.
∠POS:
- Line OS extends to the left and aligns with the 140° mark on the outer scale.
- Therefore, ∠POS = 140°.
4.
∠POT:
- Line OT extends further to the left and aligns with the 170° mark on the outer scale.
- Therefore, ∠POT = 170°.
5.
∠POU:
- Line OU extends horizontally to the left and aligns with the 180° mark on the outer scale.
- Therefore, ∠POU = 180°.
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Final Answer:
The measures of the angles are:
\[
\boxed{60^\circ, 90^\circ, 140^\circ, 170^\circ, 180^\circ}
\]
Parent Tip: Review the logic above to help your child master the concept of measuring and classifying angles worksheet.
