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GIVEN IN QUESTION =PQ parallel to ST
<PQR=110°
and <RST=130°
we have to find<QRS
AS WE COME TO KNOW
THAT < PQ PARALLEL TO <ST
AS COMPLARE ANGLE AS <1 ;<2;<3
THEN GIVEN <1=<2
<2=130° (IN QUESTION IT IS GIVEN )
AND
<2+<3=180°
because of linear pair equations
=130°+<3=180° (linear pair)
=<3=180°-130°=50°
then
<5+<4= (as we know 5 +4 =9)
then <9 =180°
110+<4=180°
<4=180°-110=70°
in TRIANGLE QMR
<3+<4+<R=180°
120°+<R=180°
<R=180°-120°
<R=60°
[tex]
NOW WE COME TO KNOW THAT
<QRS
60 DEGREE
HERE IS UR ANS MATE
hope it helps to you
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