Question-43205

Question Number 43205 by Tawa1 last updated on 08/Sep/18

Answered by $@ty@m last updated on 08/Sep/18

∵ ∠ S R Q = ∠ R T S (a l t e r n a t e s e g m e n t t h e o r e m)

∴ ∠ S R Q = 28^{o}

W e h a v e

∠ V R M + ∠ V R S + ∠ S R Q = 180^{o}

\Rightarrow 46^{o} + ∠ V R S + 28^{o} = 180^{o}

\Rightarrow ∠ V R S + 106^{o} = 180^{o} \dots (1)

W e k n o w t h a t o p p o s i t e a n g l e s o f

a c y c l i c q u a d r i l a t e r a l a r e s u p p l e m e n t a r y .

∴ ∠ V R S + ∠ V U S = 180^{o} \dots . (2)

F r o m (1) & (2),

w e g e t

∠ V U S = 106^{o} A n s .

Commented by Tawa1 last updated on 08/Sep/18

God bless you sir

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