pls send my answer please
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Answer:
ok
Step-by-step explanation:
1=4-5
3+4+5=180
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Answer:
To prove: a). ∠ ACD = ∠A + ∠B
b). ∠A + ∠B + ∠ACB = 180°
Proof:
a) CE ║ AB
⇒ ∠A = ∠ACE ( Alternate Interior angles of parallel lines are equal -----(1)
⇒ ∠B = ∠ECD ( Corresponding angles of parallel lines are equal -----(2)
Add Equation 1 & 2, we get
∠A + ∠B = ∠ACE + ∠ECD
∠A + ∠B = ∠ACD ( from figure )
Hence Proved, Exterior Angle of a triangle is equal to sum of two opposite interior angle
b) ∠A + ∠B = ∠ACD ( from above part ) ----(3)
∠ ACB + ∠ACD = 180° ( Linear Pair )
⇒ ∠ ACD = 180° - ∠ACB
Put value of ∠ ACD in equation 3, we get
∠A + ∠B = 180° - ∠ACB
∠A + ∠B + ∠ACB = 180°
Hence Proved, Sum of all angles of a triangle is 180°.
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