4, in Fig. 6.31, if PQ 11 ST. < PQR = 110Â° andZRST 130, find 2ORS.1

1.	4, in Fig. 6.31, if PQ 11 ST. < PQR = 110Â° andZRST 130, find 2ORS.130IHint : Draw a line parallel to ST throughpoint R.]
Answer» Given, PQ \|\| ST, ∠PQR = 110° and ∠RST = 130° Construction, A line XY parallel to PQ and ST is drawn. ∠PQR+∠QRX= 180° (Angles on the same side of transversal.)⇒110° + ∠QRX= 180°⇒∠QRX= 70° Also,∠RST+ ∠SRY= 180° (Angles on the same side of transversal.)⇒130° + ∠SRY= 180°⇒∠SRY= 50° Now,∠QRX+∠SRY+∠QRS = 180°⇒70°+ 50°+ ∠QRS= 180°⇒∠QRS= 60° HIT THE LIKE BUTTON IF YOU ARE SATISFIED t

4, in Fig. 6.31, if PQ 11 ST. < PQR = 110Â° andZRST 130, find 2ORS.130IHint : Draw a line parallel to ST throughpoint R.]

Answer»

Given,

PQ || ST, ∠PQR = 110° and ∠RST = 130°

Construction,

A line XY parallel to PQ and ST is drawn.

∠PQR+∠QRX= 180° (Angles on the same side of transversal.)⇒110° + ∠QRX= 180°⇒∠QRX= 70°

Also,∠RST+ ∠SRY= 180° (Angles on the same side of transversal.)⇒130° + ∠SRY= 180°⇒∠SRY= 50°

Now,∠QRX+∠SRY+∠QRS = 180°⇒70°+ 50°+ ∠QRS= 180°⇒∠QRS= 60°

HIT THE LIKE BUTTON IF YOU ARE SATISFIED t