8. In fig. PQRS is a trapezium in
which SP parallel to RQ. find
the measure of <P and <R.
R
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Step-by-step explanation:
PQRS is trapezium.
⇒ SP∥RQ [ Given ]
We know, sum of two angles between parallel lines is supplementary
∴ ∠QRS+∠RSP=180
o
⇒ ∠QRS+90
o
=180
o
⇒ ∠QRS=180
o
−90
o
=90
o
⇒ ∠PQR+∠QRS+∠RSP+∠SPQ=360
o
⇒ 100
o
+90
o
+90
o
+∠SPQ=360
o
⇒ 280
o
+∠SPQ=360
o
⇒ ∠SPQ=360
o
−280
o
=80
o
∴ Measures of ∠P and ∠R are 80
o
and 90
o
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