Question 230347: the obtuse angle of an isosceles triangle measures 120 degrees. write and solve an equation to find the measure of the base angles. Found 2 solutions by stanbon, solver91311:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The two base angles have the same measure; let it be "x"
Equation:
x + x + 120 = 180
2x = 60
x = 30 degrees
Each base angle is 30 degrees.
================================
Cheers,
Stan H.
The sum of the measures of the interior angles of any triangle is 180°. The base angles of an isosceles triangle are equal in measure. Let represent the measure of one of the base angles. Then, given that the obtuse angle measures 120°, we can say:
(