In the given parallelogram FOUR, RUO = 110° and Of is extended to a point S such
that SRF = 42'. Find the measure of FSR.
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YOUR is a parallelogram.
∠RUO=120
o
⇒ RUO=∠RYO [ Opposite angles in parallelogram are equal ]
∴ ∠RYO=120
o
⇒ ∠RYS+∠RYO=180
o
[ Linear pair ]
⇒ 120
o
+∠RYO=180
o
∴ ∠RYO=60
o
In △RSY,
⇒ ∠SRY+∠RYS+∠YSR=180
o
[ Sum of angles in triangle is 180
o
]
⇒ 50
o
+60
o
+∠YSR=180
o
⇒ 110
o
+∠YSR=180
o
∴ ∠YSR=70
o
.
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