Question

If $△$ABC is congruent to $△$PQR, then the value of $\angle$A is ____.

• A. 35°
• B. 55°
• C. 90°
• D. 45°

Answer 1

The correct option is B 55°

As $△$ABC is congruent to $△$PQR, then
$\angle$A = $\angle$P.

In $△$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°
$\angle$P = 55°
So, $\angle$A = $\angle$P = 55°
Therefore, option B is correct.