in the figure PQRS is a quadrilateral. ST and RT arebisectors of angle PSR and angle SRQ respectively. If angle SPQ =120°, find angle PQR.
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Answered by
16
AngleRSP=30+30=60
AngleSRQ=35+35=70
AngleSPQ=120
sum of angles in a quadrilateral is 360 degree
AnglePQR=360-(60+70+120)
=360-250
=110 degree
AngleSRQ=35+35=70
AngleSPQ=120
sum of angles in a quadrilateral is 360 degree
AnglePQR=360-(60+70+120)
=360-250
=110 degree
Answered by
13
since St is the bisector of PSR then RST=PST
=30=30 PST=30
similarly with SRQ ,QRT=35
then PSR =PST+RST=30+30=60
in SRQ=QRT+SRT=35+35=70
in a quadrilateral sum of all angles is 360°
PSR+SRQ+SPQ+PQR=360°
60+70+120+PQR=360°
250°+PSR=360°
PSR=360-250=110
PSR=110°
=30=30 PST=30
similarly with SRQ ,QRT=35
then PSR =PST+RST=30+30=60
in SRQ=QRT+SRT=35+35=70
in a quadrilateral sum of all angles is 360°
PSR+SRQ+SPQ+PQR=360°
60+70+120+PQR=360°
250°+PSR=360°
PSR=360-250=110
PSR=110°
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