Respuesta :

Question (2a):

Given that sum of triangle = 180°
∠1 + ∠2 + ∠3 = 180°
∠3 = 180° - ∠1 - ∠2     ---------------- (1)

Given that sum of angles on the adjacent line = 180°
∠3 + ∠4 = 180°
 ∠4  = 180° - ∠3 ------------------------(2)
Sub (1) into (2)

 ∠4  = 180° - (180° - ∠1 - ∠2 )
 ∠4  = 180° - 180° + ∠1 +∠2 
 ∠4  =  ∠1 +∠2  (proven)


Question (2b):

  ∠4  =  52° + 25°
 ∠4  =  77°


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