in the adjoinig figure,angle AOB=50° and angel BOC=COD.
a. angel BOC
b. angel COE
Answers
Answer:
A) 65
B) 115
Step-by-step explanation:
a) angel BOC + COD + AOB = 180
Let take angle BOC = AOB = X
X + X + 50 = 180
2X = 130
X = 65
b) angle COE + COB = 180
let angle COE = X
X + 65 = 180
X = 115
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Answer:
the answer is very easy.
as we know that angle BOC=COD we can say both the angles are x.
Step-by-step explanation:
so now,
angle BOC+angle COD+angle BOA=180 degrees(angles on a straight line are supplementary or the sum of angles on a straight line is 180 degrees).
as I had said angle BOC and COD are x so,
x+x+50=180 degrees
2x+50=180 degrees
2x=180-50 degrees
x=130/2
x=65 degrees
so angle BOC is 65 degrees.
now if u observe then u will see that BE is also a straight line.
So,
angle BOC+angle COD+angle DOE=180 degrees(angles on a straight line are supplementary or the sum of angles on a straight line is 180 degrees)
we got the value of both BOC and COD which is 65 degrees so now we can find the angle DOE.
let's name angle DOE as y.
65+65+y=180 degrees
y=180-130
y=50 degrees
now angle COE=angle COD +angleDOE
therefore angles COE=65+50
COE=105 degrees
Hope u get the sum.
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