6 Which figure is similar to to Figure A?

85

59

FIGURE A

112

36

FIGURE B

85

36

FIGURE O

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Mathematics ##
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6 Which figure is similar to to Figure A?

85

59

FIGURE A

112

36

FIGURE B

85

36

FIGURE O

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

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°

Step-by-step explanation:

Figure A is similar to Figure C.

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