Question Number 102642 by otchereabdullai@gmail.com last updated on 10/Jul/20

Answered by som(math1967) last updated on 10/Jul/20

∠SRQ=∠RTS=28  x=180−∠VRS=∠VRM+∠SRQ  =46+28=74°ans

Commented bybemath last updated on 10/Jul/20

sir, why ∠SRQ = ∠RTS

Commented bysom(math1967) last updated on 10/Jul/20

Angles in alternate segment

Commented bysom(math1967) last updated on 10/Jul/20

let O is centre  ∴∠ORS=∠OSR [OR=OS]  ∠ORS=90−(1/2)∠ROS  ∠ORS=90−∠RTS  ∴∠RTS=90−∠ORS  Again ∠SRQ=90−∠ORS  [∵OR radd. RQ tanjent]  ∴∠RTS=∠SRQ

Commented bysom(math1967) last updated on 10/Jul/20

Commented byotchereabdullai@gmail.com last updated on 10/Jul/20

thanks a lot sir! i appreciate your time

Answered by bramlex last updated on 10/Jul/20

x = (1/2)(92^o +56^o ) = 74^o

Commented bybramlex last updated on 10/Jul/20

Commented byotchereabdullai@gmail.com last updated on 10/Jul/20

wow !