prove the angle Exterior angle property by drawing five triangle
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Answer:
Consider a Δ ABC.
The three angles a + b + c = 180 (angle sum property of a triangle) ----- Equation 1
c= 180 - (a+b) ----- Equation 2 (rewriting equation 1)
e = 180 - c----- Equation 3 (linear pair of angles)
Substituting the value of c in equation 3, we get
e = 180 - [180 - (a+b)]
e = 180 - 180 + (a + b)
e = a + b
Hence verified
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Answered by
1
Answer:
Answer:
Consider a Δ ABC.
The three angles a + b + c = 180 (angle sum property of a triangle) ----- Equation 1
c= 180 - (a+b) ----- Equation 2 (rewriting equation 1)
e = 180 - c----- Equation 3 (linear pair of angles)
Substituting the value of c in equation 3, we get
e = 180 - [180 - (a+b)]
e = 180 - 180 + (a + b)
e = a + b
Hence verified
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