in the given fig. prove that x= a+b+c
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Answer:
180°
Step-by-step explanation:
x=a+b+c
sum of interior angle is equal to exterior angles.
x=180°
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1
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In the given figure, Prove that x = a + b + c.
Construction: We join B and D and produce to E
Proof:< 1 + < 2 =b and <3+ < 4=x … (i)
In ABD, <3 = < 1+ a [external angle property]
In BDC, <4 = < 2 + c [external angle property] … (ii)
Adding (i) and (ii), we get
<3+ < 4 = (<1+ < 2) +a +c
x= b + a + c using (i)
its the answer......
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