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GIVEN-PQ || OL
TO PROOF-ST || OL
proof-
mark the point R on line OL
where 60° angle is formed
<PQR=<QRL. (alternate angle)
<QRL=<QRS + <SRL
=>PQR=<QRS + <SRL
=>110° = 60° + <SRL
<SRL= 110 - 60
<SRL=50
we know that sum of two co-interior angle is 180°
here <SRL AND <RST are in form of co-interior and there is sum is also 180°
<SRL+<RST=50+130=180
hence we can say that OL || ST
PROVED
.
TO PROOF-ST || OL
proof-
mark the point R on line OL
where 60° angle is formed
<PQR=<QRL. (alternate angle)
<QRL=<QRS + <SRL
=>PQR=<QRS + <SRL
=>110° = 60° + <SRL
<SRL= 110 - 60
<SRL=50
we know that sum of two co-interior angle is 180°
here <SRL AND <RST are in form of co-interior and there is sum is also 180°
<SRL+<RST=50+130=180
hence we can say that OL || ST
PROVED
.
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