Mathematics
Grade-8
Easy

Question

△PQT and △RST are shown below. Are these triangles similar?

  1. Similar
  2. Not similar
  3. Angles similar
  4. Sides similar

The correct answer is: Not similar


    i n space increment P Q T space
angle P plus angle Q plus angle T equals 180 degree left parenthesis 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 right parenthesis
91 degree plus 52 degree plus angle T equals 180 degree
angle T equals 37 degree
i n space increment R S T space
angle R plus angle S plus angle T equals 180 degree left parenthesis 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 right parenthesis
36 degree plus 52 degree plus angle T equals 180 degree
angle T equals 92 degree
sin c e space o n l y space o n e space a n g l e space i s space c o n g r e n t space space i n space t h e space t r i a n g l e s space t h e r e f o r e space t h e y space a r e space n o t space s i m i l a r

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