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Find the value of x on the clothes hanger. What type of triangle must the hanger be to hang clothes evenly?

Find the value of x on the clothes hanger. What type of triangle must the hanger be to hang clothes evenly? class=

Verified Answer :

It must be an iscoceles triangle. Set this up at 2x+110=360. Then 360-110=250. So 2x=250. Then x=125.

110 + x + x = 180
110 + 2x = 180
2x = 70
x = 35

The hanger would have to be isosceles to hang the clothes evenly, because the two base angles are congruent, and in an isosceles triangle, the base angles are congruent. 

Hope this helps!! :)