Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a…

GATE · 2021 · CE · Set 1 · General AptitudeGATE · 2021 · CY · General AptitudeGATE · 2021 · IN · General Aptitude

Five intersecting straight segments form a five-point star. Outer vertices are labelled P at the top, Q on the right, R at lower right, S at lower left and T on the left. Segments connect P–R, P–S, Q–S, Q–T and R–T. A small arc at P between PR and PS is labelled θ. No numerical angle or length is printed.

Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a star as shown in the figure above.

The value of θ, in degrees, is ______

  1. A.

    36

  2. B.

    45

  3. C.

    72

  4. D.

    108

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