Question

In the given parallelogram YOUR, angle RUO = 120° and OY is extended to point S such that angle SRY = 50° are angle YSR and YOU supplementary Explain.

Answer 1

Answer:

no

Step-by-step explanation:

the sum of supplementary angles are 180

but here sum of YSR and YOU are 130

YOUR is a parallelogram

RUO = 120

then RYO = 120 (opposite angle of a parallelogram)

RYO + YOU = 180 (adjacent angle of a parallelogram)

120 + YOU = 180

YOU = 180 - 120

YOU = 60

in triangle SRY

angle SRY = 50 (given)

angle RYO is a exterior angle of triangle

RYO = SRY + YSR

120 = 50 + YSR

YSR = 120 - 50

YSR = 70

YSR and YOU are not supplementary

Answer 2

Answer:

no

the sum of supplementary angles are 180

but here sum of YSR and YOU are 130

YOUR is a parallelogram

RUO = 120

then RYO = 120 (opposite angle of a parallelogram)

RYO + YOU = 180 (adjacent angle of a parallelogram)

120 + YOU = 180

YOU = 180 - 120

YOU = 60

in triangle SRY

angle SRY = 50 (given)

angle RYO is a exterior angle of triangle

RYO = SRY + YSR

120 = 50 + YSR

YSR = 120 - 50

YSR = 70

YSR and YOU are not supplementary

Step-by-step explanation: