in the given figure AB parallel CD determine angle BOC
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Answer:
60⁰
Step-by-step explanation:
Draw a line parallel to AB and BC passing through point O. Name the line as XY
If XY is parallel to AB, then
angle BOX+angle ABO will be 180⁰ as they become co-interior.
so, angle BOX+angle ABO = 180⁰
BOX +110⁰= 180⁰
BOX= 70⁰
Similarly DCO+ COY = 180⁰ (co-interior)
COY = 180⁰-130⁰
COY = 50⁰
XY is a straight line,
so BOX + COY + BOC = 180⁰
BOX = 180⁰-50⁰-70⁰
BOX = 60⁰
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