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    Mathematics
    Grade-8
    Easy

    Question

    Tell whether the triangles are similar. Explain.

    1. Yes, because it looks like it
    2. Yes, because 81 + 48 + 51 = 180
    3. No because 81 + 48 + 51 = / = 180
    4. Def not

    The correct answer is: Yes, because 81 + 48 + 51 = 180

      f r o m space i n t e r i o r space a n g l e space s u m space p r o p e r t y space o f space t r i a n g l e space comma w e space k n o w space t h a t space s u m space o f space i n t e r i o r space a n g l e s space o f space a space t r i a n g l e space i s space 180 degree s o comma 81 degree plus x plus 48 degree equals 180 degree x equals 51 degree A l s o 51 degree plus 48 degree plus y equals 180 degree y equals 81 degree N o w space w e space c a n space c l e a r l y space s e e space t h a t space a l l space t h e space a n g l e s space i n space b o t h space t r i a n g l e s space a r e space c o n g r u e n t B y space A A A space s i m i l a r i t y space t h e space t r i a n g l e s space a r e space s i m i l a rYes, because 81 + 48 + 51 = 180°

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