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40° is the answer for the given problem
Step-by-step explanation:
AB/RQ =3.8/7.6=1/2
BC/PQ = 6/12 =1/2
AC/RP = 3√3/6√3= 1/2
Angle A=80°,angle B=60°
by angle sum property
180°-(80°+60°)=180°-140°=40°=angle C
Since the corresponding sides are in proportion and corresponding angles are equal .
angle A=angle R
angle B= angle Q
angle C= angle P
therefore
angle P =40°
and
∆ABC ~∆RQP ,
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