Math, asked by divyanshii0077, 1 month ago

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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Answers

Answered by anthonyjustina89
2

Answer:

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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