Find the measure of $∠ P$ and $∠ S$ if $¯ ¯¯¯¯¯¯ ¯ S P ∥ ¯ ¯¯¯¯¯¯¯ ¯ R Q$ . (If you find $m ∠ R$ , is there fore than one method to find $m ∠ P$ ?)

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Solution

$P Q R S b e a p a r a l l e l o g r a m a n d S P ∥ R Q ∠ Q = 130... (1) S i n c e a d j a c e n t i n t e r i o r a n g l e s a r e s u p p l e m e n t a r y . ∠ Q + ∠ R = 180 ⟹ 130 + ∠ R = 180 ⟹ ∠ R = 180 - 130 = 50 S i n c e o p p o s i t e a n g l e s o f p a r a l l e l o g r a m a r e e q u a l . ∠ Q = ∠ S = 130 a n d ∠ R = ∠ P = 50 H e n c e ∠ P = 50 a n d ∠ S = 130$

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Find the measure of $∠ P$ and $∠ S$ if SP || RQ. (If you find m $∠ R$ , is there more than one method to find m $∠ P$ ) ?

Question 12
Find the measure of $∠ P$ and $∠ S$ if SP || RQ. (If you find m $∠ R$ , is there more than one method to find m $∠ P$ ?

∠ P

∠ S

¯ ¯¯¯¯¯¯ ¯ S P ∥ ¯ ¯¯¯¯¯¯¯ ¯ R Q

m ∠ R

m ∠ P ?

Find the measure of $∠ P$ and $∠ S$ if SP || RQ. (If you find m $∠ R$ , is there more than one method to find m $∠ P$ ?

Find the measure of ∠P and ∠S, if in the following figure. (If you find m∠R, is there more than one method to find m∠P?)

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