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Three equal -length straight rods, of al...

Three equal -length straight rods, of aluminium invar and steel all at `20^(@)C`, form an equilateral triangle with hinge pins at the vertices. At what temperature will the angle opposite to the invar rod be `59.95^(@)`?
`alpha_("invar")=0.7xx10^(-6)//C^(@), alpha_("steel")=11xx10^(-6)//C^(@), alpha_("aluminium")=23xx10^(-6)//C^(@)`

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The correct Answer is:
`45.3^(@)C`
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