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.
Answers
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:
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: