Question : If $\triangle ABC \cong \triangle PQR$, then the value of $\angle A$ is:
Option 1: 55°
Option 2: 90°
Option 3: 35°
Option 4: 45°
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Correct Answer: 55°
Solution :
As $\triangle ABC \cong \triangle PQR$, then
$\angle A = \angle P$
In $\triangle PQR$, from the angle sum property of a triangle, we can write
$\angle P + \angle Q + \angle R = 180°$
$⇒\angle P + 35°+ 90°= 180°$
$⇒\angle P = 180° - (35° + 90°)$
$⇒\angle P = 180° - 125°$
$\therefore \angle P = 55°$
So, $\angle A = \angle P = 55°$
Hence, the correct answer is 55°.
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