Angles can be used to estimate the side lengths of a shape.
The letters in order of greatest to least are (a), (b) and (c)
The sum of angles at side (a) is:
[tex]a = 30 + 50[/tex]
[tex]a = 80[/tex]
The sum of angles at side (c) is:
[tex]c = 50 + 90[/tex]
[tex]c = 140[/tex]
The sum of angles at side (b) is:
[tex]b = 40 + 90[/tex]
[tex]b = 130[/tex]
So, we have:
[tex]a = 80[/tex]
[tex]b = 130[/tex]
[tex]c = 140[/tex]
The smaller the base angles, the longer the side.
Hence, the letters in order of greatest to least are (a), (b) and (c)
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