Name the different angles in the figure and write their measures. (Pages 36-37)

Name the different angles in the figure and write their measures. Class 6

Question 1.

Name the different angles in the figure and write their measures. Class 6

Did you include angles such as ∠TOQ?

Which set of markings did you use — inner or outer?

What is the measure of ∠TOS?

Can you use the numbers marked to find the angle without counting the number of markings?

Here, OT and OS pass through the numbers 20 and 55 on the outer scale.

How many units of 1 degree are contained between these two arms?

Can subtraction be used here?

Answer:

Different angles are ∠POQ, ∠POR, ∠QOR, ∠POS, ∠QOS, ∠ROS, ∠POT, ∠QOT, ∠ROT, ∠SOT, ∠POU, ∠QOU, ∠ROU, ∠SOU, ∠TOU. Their measures are as shown below:

∠POQ = 35°, ∠POR = 95°, ∠QOR = 95° - 35° = 60°, ∠POS = 125°, ∠QOS = 125° - 35° = 90°, ∠ROS = 125° - 95° = 30°, ∠POT = 160°, ∠QOT = 160° - 35° = 125°, ∠ROT = 160° - 95° = 65°, ∠SOT = 160° - 125° = 35°, ∠POU = 180°, ∠QOU = 180° - 35° = 145°, ∠ROU = 180° - 95° = 85°, ∠SOU = 180° - 125° = 55°, ∠TOU = 180° - 160° = 20°.

Yes, I have included ∠TOQ. Used inner markings.

∠TOS = 35°.

∠TOS = 55° - 20° = 35° (using outer markings).

Yes, subtraction can be used here.