SOLUTION: 5. Which two triangles are similar? <a href="http://s293.photobucket.com/albums/mm56/cool_user2004/?action=view&current=5.jpg" target="_blank"><img src="http://i293.photobuc

Algebra ->  Formulas -> SOLUTION: 5. Which two triangles are similar? <a href="http://s293.photobucket.com/albums/mm56/cool_user2004/?action=view&current=5.jpg" target="_blank"><img src="http://i293.photobuc      Log On


   

Question 139950: 5. Which two triangles are similar?


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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First, we need to find the missing angles of each triangle.


For the first triangle, first add up the two given angles 69 and 48 to get

69%2B48=117

Now subtract 117 from 180 to get

180-117=63


So the first triangle has these angles


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For the second triangle, first add up the two given angles 63 and 48 to get

63%2B48=111

Now subtract 111 from 180 to get

180-111=69


So the second triangle has these angles


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For the third triangle, first add up the two given angles 63 and 48 to get

63%2B78=141

Now subtract 111 from 180 to get

180-141=39


So the third triangle has these angles


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Summary:



So the three triangles have these angles


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Answer:


Remember, similar triangles have equal angles. From the figure, we can see that triangles a) and b) have equal angles. So triangles a) and b) are similar triangles.