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Mathematics 12 Online
OpenStudy (anonymous):

FAN AND MEDAL The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

OpenStudy (anonymous):

40° 70° 100° 140°

OpenStudy (anonymous):

it's 100

OpenStudy (anonymous):

Will you explain?

OpenStudy (anonymous):

Yes. Haha.

OpenStudy (anonymous):

So, we know that in an isosceles triangle, \(\text{two}\) the angles/sides are equal and the \(\text{base}\) is the largest one.

OpenStudy (anonymous):

That being said... |dw:1447807815918:dw|

OpenStudy (anonymous):

We know that there are 180 degrees in a triangle, so you should come up with an equation like this: \(40+40+x=180\). Now solve for x. x is the base. :)

OpenStudy (anonymous):

Thanks so much! I understand now.

OpenStudy (anonymous):

No problem! :)

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