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It is given that LXYZ = 64° and XY is produced to point P. Draw a figure from the given infonnation. If ray YQ bisects LZl'P, find LXYQ and reflex LQYP.

It is given that LXYZ = 64° and XY is produced to point
P. Draw a figure from the given infonnation. If ray YQ bisects LZl'P, find LXYQ and reflex LQYP.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60782 Points
2 years ago
Ray YQ bisects LPYZ. • Q z :. LPYZ = LPYQ = LQyz ...(i) Ray yz stands on line PX. < p Y x > .. LPYZ + Lzyx = 180° [Linear pair) 2LPYQ + 64° = 180° [From (i)J 2LPYQ = 180° - 64° = 116° LPYQ = 58° ..•(ii) .. Reflex LQYP = 360° - LPYQ = 360° - 58° = 302°. Also LXYQ = LXYZ + LQyz = 64° + 58° = 122°. [From (i), (ii)]

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