Question

Complete the mango. Then we
discussion with the help of the flowing us
(1) What kind of surface do you meet the maig
a rangoli ?
€2) How do you start making a range
(3) What did you do in ander to come the
rangoli ?
(4) Name the different stages you the
rangoli.
(5) Would it be possible to make a game
scooter or on an elephant's bacit
6) When making a rangoli on paper, wat in you
use to make the dots

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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°