Question

Please explain, too! Thank you :) ​

Answer 1

Answer:

∠POS = 128°

Step-by-step explanation:

Angles on a straight line always add up to 180°

Therefore:

∠POS + ∠POQ = 180°  (as they are the angles on line SOQ)

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

Answer 2

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To find :-

The value of ∠POS

Given :-

∠POQ = 52°

Solution :-

The ∠POQ + ∠POS lies on same line SOQ. So they are linear pair and linear pair angle forms sum of 180°.

∠POS + ∠POQ = 180° {linear pair}

∠POS + 52° = 180°

∠POS = 180° - 52°

∠POS = 128°

Result :-

The angle ∠POS is 128°.