Answer:
3) 70°
Step-by-step explanation:
180°=x+2x-20°+65°
180°=3x°-20
200°=3x+65°
135°=3x
45°=x
BOD=2×45°-20°
BOD=70°
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Verified answer
Answer:
3) 70°
Step-by-step explanation:
180°=x+2x-20°+65°
180°=3x°-20
200°=3x+65°
135°=3x
45°=x
BOD=2×45°-20°
BOD=70°
From the figure we know that ∠AOB is a straight line
So we get
∠AOB=180
It can also be written as
∠AOC+∠COD+∠BOD=180
By substituting the values
(3x−7)+55 +(x+20) =180
3x−7 +55 +x+20 =180
On further calculate
4x+180 =180
4x=112
x=28
o
By substituting the value of x we get
∠AOC=(3x−7) = 3(28)−7
=84 −7 =77
∠BOD=(x+20)
=(28+20)
=48