Let’s solve this step by step.
We are given a protractor with several rays coming out from the center point O. The rays are labeled: P, Q, R, S, T, U.
The protractor has two scales:
- Inner scale (goes from 0° on the right to 180° on the left)
- Outer scale (goes from 0° on the left to 180° on the right)
But since all angles are measured from ray OP (which is along the 0° mark on the inner scale), we will use the
inner scale for measuring angles starting from OP.
Let’s find each angle one by one:
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Angle POQ:
Ray OQ points to 35° on the inner scale → So ∠POQ = 35°
Angle POR:
Ray OR points to 85° on the inner scale → So ∠POR = 85°
Angle POS:
Ray OS points to 125° on the inner scale → So ∠POS = 125°
Angle POT:
Ray OT points to 160° on the inner scale → So ∠POT = 160°
Angle POU:
Ray OU is along the straight line opposite to OP → That’s 180° → So ∠POU = 180°
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Now let’s check if these make sense visually:
- OQ is just past 30° → 35° looks right.
- OR is just before 90° → 85° makes sense.
- OS is between 120° and 130° → 125° is correct.
- OT is at 160° — yes, that matches.
- OU is straight across — definitely 180°.
All measurements look accurate based on the protractor markings.
Final Answer:
∠POQ = 35°, ∠POR = 85°, ∠POS = 125°, ∠POT = 160°, ∠POU = 180°
Parent Tip: Review the logic above to help your child master the concept of angles worksheet.
