Question

What will be the measure of $\angle$PQR,
if $\angle$ZXY = 25° ?

• A. 25°
• B. 15°
• C. 35°
• D. 10°

Answer 1

The correct option is B 15°

Given, in triangles, $△$PQR and $△$XYZ,
side RP = side ZX = 6cm
$\angle$QRP = $\angle$YZX = 140°
side QR = side YZ = 9cm

$\therefore$ by SAS criterion for congruency of triangles, $△$PQR $\cong △$XYZ

So,
$\angle$RQP = $\angle$ZXY = 25° (corresponding parts)

In triangle, $△$PQR,
$\angle$PQR = 180° - ($\angle$RQP + $\angle$QRP)
$\Rightarrow$ $\angle$PQR = 180° - (25° + 140°)
$\Rightarrow$ $\angle$PQR = 15°