Question

please tell me 2 question ​

Answer 1

Answer:

(i) Assume that ∠POQ = x°

∠POR + ∠POQ = 180° (Linear Pair)

x° + 125° = 180°

x = 180° - 125°

x = 55°

Hence ∠POQ  = 55°

(ii) Assume that ∠POQ = y°

∠POQ + ∠POS + ∠ROS = 180° (Linear Pair)

y° + 90° + 52° = 180°

y° + 142° = 180°

y° = 180° - 142°

y° = 38°

Hence, the ∠POQ = 38°

Hope it helps

Answer 2

Answer:

In first Measure of POQ IS = 55°

EXPLANATION :- Beacuse POQ and POR lies on same line

measure of two angles that lies on a same line = 180°

$\implies$ POR + POQ = 180°

$\implies$ 125 ° + POQ = 180°

$\implies$ POQ = 180° - 125 °

$\implies$ POQ = 55 °

Therefore, measure of angle POQ is 55 °

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In second Measure of POQ IS = 38°

EXPLANATION :- POQ + SOP + ROS = 180°

POQ + 90° + 52 ° = 180°

$\implies$ POQ + 142 ° = 180°

$\implies$ POQ = 180 - 142

$\implies$ POQ = 38°

Therefore, in second Measure of POQ is 38°