AB and CD are straight line segments. ∠ AOE = 44° and ∠ DOB = 109°.
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
i think the angles add up to 360
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Answers
Answered by
1
Step-by-step explanation:
i) ∠ AOC = ∠ DOB (vertically opposite angle)
∠ AOC = 109°
ii) ∠ AOC + ∠ BOC = 180° (linear pair or supplementary angles)
109 + ∠ BOC = 180°
∠ BOC = 180-109
= 71°
iii)
∠ BOC = ∠ AOD (vertically opposite angle) ----(i)
∠ AOD = ∠ AOE + ∠ DOE -------(ii)
∠ AOE = 44° (Given)
From (i) and (ii), we get
71 = 44 + ∠ DOE
∠ DOE = 71-44
∠ DOE = 27°
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Answered by
0
Answer:
angle AOC=angle DOB=109degree
angle COB=angle AOE+angle EOD=44+x -------- equation 1
angle DOE+angle AOE+angle DOB+angle AOC+angle COB=360degree
x+44+109+109+44+x=360
306+2x=360
2x=54
x=54/2
x=27
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