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The measures of two angles of an isosceles triangle are $3x + 4^{\circ}$ and $x + 16^{\circ}$. Find all possible values of $x$.

 Jan 26, 2020
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If we let a = 3x+4, and b = x+16 then there are two possibilities:

 

1.   2a + b = 180, so 6x + 8 + x + 16 = 180, or 7x + 24 = 180

 

and

 

2.   a + 2b = 180, so 3x + 4 + 2x + 32 = 180, or 5x + 36 = 180

 

I'll let you take it from here.

 Jan 26, 2020

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