Question 1202629
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Let a, b, and c represent the angles of the triangle.
We'll have a = smallest angle.


"<font color=blue>The angles of a triangle add up to 180 degrees.</font>" gives the equation a+b+c = 180.


"<font color=blue>The second angle is 20 degrees larger than the smallest angle.</font>" gives the equation b = a+20.


"<font color=blue>The third angle is 2 times as big as the smallest angle.</font>" gives the equation c = 2a


a+b+c = 180
a+(a+20)+c = 180 .... replace b with a+20
a+(a+20)+2a = 180 .... replace c with 2a
4a+20 = 180
4a = 180-20
4a = 160
a = 160/4
<font color=red>a = 40 degrees</font>


The other results b = a+20 and c = 2a will yield larger angles than 40 degrees.
I'll let the student do this part and to verify.


Answer: <font color=red>40 degrees</font>
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