PQRS is a quadrilateral with P =Q and R=S if P=2R find the measure of each angle
Plz give me right answer
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Answered by
1
Answer:
hm actually I tried ur question I did not get correct though so prefer this dude
Step-by-step explanation:
ANSWER
⇒ ∠P:∠Q:∠R:∠S=3:7:6:4 [ Given ]
⇒ Let ∠P=3x,∠Q=7x∠R=6x and ∠S=4x.
⇒ In quadrilateral PQRS,
⇒ ∠P+∠Q+∠R+∠S=360
o
∴ 3x+7x+6x+4x=360
o
∴ 20x=360
o
∴ x=18
o
⇒ ∠P=3×18
o
=54
o
⇒ ∠Q=7×18
o
=126
o
⇒ ∠R=6×18
o
=108
o
⇒ ∠S=4×18
o
=72
o
⇒ Now, ∠P+∠Q=54
o
+126
o
=180
o
⇒ and ∠R+∠S=180
o
+72
o
=180
o
⇒ If transversal intersects two lines in such a way that a pair of consecutive interior angles are supplementary, then the two lines are parallel.
∴ PS∥QR
Answered by
0
Answer:
thank you
Step-by-step explanation:
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