2 LP-30, LS=2
P
5x-9
P.
3x
9
X 3+2
x
R
a. Find the sizes of all the
in parallelogram PQRS.
angles
Answers
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2
Answer:
We know that, opposite angles of a parallelogram are equal.
∴ ∠Q=∠S
⇒ 4x−5=3x+10
⇒ 4x−3x=10+5
⇒ x=15
⇒ ∠Q=(4x−5)
o
=(4×15−5)
o
=55
o
We know that, sum of adjacent angles of parallelogram is 180
o
⇒ ∠Q+∠R=180
o
⇒ 55
o
+∠R=180
o
∴ ∠R=125
o
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