Question

AB and CD are straight line segments.
∠ AOE = 51° and ∠ DOB = 91°.
Find the values of the following angles giving a reason for each answer in the comment box.

The diagram is not drawn accurately.
i) obtuse ∠ AOC
ii) acute ∠ BOC
iii) acute ∠ DOE

Answer 1

Answer:

angle AOC= 91 degree - opposite amgles

angle BOC=

AOC+BOC= 180 degree- linear pair angles

91+BOC =180

BOC= 180-91

BOC=89

angle DOE=

DOB+DOE=180 -linear pair angles

91+ DOE= 180

DOE= 180-91

DOE= 89

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