Question

PORS is a quadrilateral with ZP = 22 and
ZR = ZS. If ZP = 2ZR, find the measure of
each angle.​

Answer 1

Answer:

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Answer 2

Given:

PORS is a quadrilateral with ZP = 22 and  ZR = ZS.

To find:

If ZP = 2ZR, find the measure of  each angle.​

Solution:

From given, we have,

PORS is a quadrilateral with ∠ P = 22 and  ∠ R = ∠ S.

Since, PORS is a quadrilateral,

∠ P is opposite to ∠ R

⇒ ∠ P + ∠ R = 180°

22° + ∠ R = 180°

∠ R = 180° - 22°

∴ ∠ R = 158°

As, ∠ R = ∠ S

∠ R = ∠ S  = 158°

∠ O is opposite to ∠ S

⇒ ∠ O + ∠ S = 180°

∠ O + 158° = 180°

∠ O  = 180° - 158°

∴ ∠ O = 22°