Question 319202
Remember that isosceles triangles have two base angles that are equal to one another. So if 'x' is the base angle, then {{{x+x+56=180}}}



{{{x+x+56=180}}} Start with the given equation.



{{{2x+56=180}}} Combine like terms on the left side.



{{{2x=180-56}}} Subtract {{{56}}} from both sides.



{{{2x=124}}} Combine like terms on the right side.



{{{x=(124)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=62}}} Reduce.



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Answer:


So the solution is {{{x=62}}} which means that the two base angles are 62 degrees each.