Question : If the triangles ABC and PQR are similar and if $\angle A=35°, \angle B=65°$ then $\angle R=$?
Option 1: 80°
Option 2: 90°
Option 3: 35°
Option 4: 65°
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Correct Answer: 80°
Solution :
$\triangle ABC \sim \triangle PQR$
⇒ $\angle C=\angle R$
In $\triangle ABC,$
$\angle A + \angle B + \angle C = 180°$
⇒ $35°+65°+\angle C = 180°$
⇒ $\angle C = 180° - 100°$
⇒ $\angle C = 80°$
⇒ $\angle R = 80°$
Hence, the correct answer is 80°.
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