SOLUTION: the obtuse angle of an isosceles triangle measures 120 degrees. write and solve an equation to find the measure of the base angles.

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.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

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:

Solve for .

John

RELATED QUESTIONS
One angle of a triangle measures 120 degrees. The other two angles are congruent. Write... (answered by rfer)
Two of the angle measures of an obtuse triangle are congruent. The third angle meauses... (answered by nyc_function)
find the measure of each base angle of an isosceles triangle if the vertex angle measures (answered by bucky)
A base angle of an isosceles triangle measures 18 degrees. Find the measure of the vertex (answered by nerdybill)
find the measure of each base angle of an isosceles triangle if the vertex angle... (answered by Alan3354)
THe measure of the obtuse angle in the isosceles triangle is two an a half times the... (answered by josgarithmetic)
in any triangle, the sum of the measures of the angle is 180 degrees. In triangle ABC,... (answered by checkley79)
Find the indicated angle measure. There's an obtuse angle of 142 degrees, two acute... (answered by cleomenius)
an isosceles triangle has two angles whose measures are equal.If the third angle of the... (answered by ewatrrr)