Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:
Which could be the measures of angle POS and angle POQ?

Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS as shown in the figure belowWhich could be the measu class=

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Answer:

The answer is

m<POS= 30 degrees, m<POQ=60 degrees.

Step-by-step explanation:

The measures of angle POS and angle POQ will be 30° and 60° respectively.

How to calculate the angle?

From the information given, Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS.

The value of POS will be 30°. Therefore the value of POQ will be twice of POS which will be:

= 2 × 30°

= 60°

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