Question

A butterfly flies from a point P 2/34km towards north and 1/23km towards south.Find where it will be now from P .2/34km towards north and 1/23km towards south.Find where it will be now from P .​

Answer 1

In the figure, ∆PQR is an isosceles PQ = PR

∠PQR = 35°

∴ ∠PRQ = 35°

But ∠PQR + ∠PRQ + ∠QPR = 180° (Sum of angles of a triangle)

⇒ 35° + 35° + ∠QPR = 180°

⇒ 70° + ∠QPR = 180°

∴ ∠QPR = 180° – 70° = 110°

∵ ∠QSR = ∠QPR (Angle in the same segment of circles)

∴ ∠QSR = 110°

But PQTR is a cyclic quadrilateral

∴ ∠QTR + ∠QPR = 180°

⇒ ∠QTR + 110° = 180°

⇒ ∠QTR = 180° -110° = 70°

Hence ∠QTR = 70°

Answer 2

Answer:

hope the above attachment may help you...