Answer: x = 14
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Explanation:
The same tickmarks on each side of the triangle tells us that all three sides are the same length. This triangle is equilateral.
All equilateral triangles have each of their three angles at 60 degrees (they are considered equiangular). This is because 60+60+60 = 180.
Set 2x+32 equal to 60 and solve for x
2x+32 = 60
2x = 60-32
2x = 28
x = 28/2
x = 14
As a check,
2x+32 = 2*14+32 = 28+32 = 60
which helps confirm the answer.
