Construct triangle PQR if PQ=5cm,angle Q=105 degrees and angle R=40 degrees - Maths - Practical Geometry

Question

Construct triangle PQR if PQ=5cm,angle Q=105 degrees and angle R=40
degrees

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

In △PQR,∠P+∠Q+∠R=180°        Angle Sum Property∠P+105°+40°=180°∠P+145°=180°∠P=180°-145°∠P=35°Steps of construction :1 Draw a line segment PQ=5 cm2 Draw an line PX at point P at an angle 35° 
3 Draw an line QY at point Q at an angle 105° 
4 PX and QY intersects at point R
5 Join PR and QR
Thus , PQR is the required triangle

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