This Post Has 3 Comments

1. I) if the triangles are similar then the corresponding angles are congruent. this means that the angles are of the same size.

   ii)  If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
   thus, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, thus to get m∠C; 
   180- (52+65)
   =  63 , therefore; m∠C= 63

   iii) if two figures are similar they have the same shape and not necessarily the same size while if two figures are congruent then they have the same shape and size

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2. Figure C is similar because the other angle in figure A =

   85 + 59 + x = 180

   144 + x = 180

   x = 180-144

   x = 36°

   and in figure C The other Angle is

   36 + 85 + x = 180

   121 + x = 180

   x = 180-121

   x = 59°

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3. Step-by-step explanation:

   Figure A is similar to Figure C.

   As the angles in figure A and Figure C are congruent.

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