SOLUTION: I have a diagram of an isosceles triangle The verticals A and B are shown to be congruent. The only information that is given is the angel of A It is 96 deg. The practice question

Question 626471: I have a diagram of an isosceles triangle The verticals A and B are shown to be congruent. The only information that is given is the angel of A It is 96 deg. The practice question asks for the values of the angles for B and C.
B/\
/ \
/ \
96 /______\C
How can I find B and C?
I am in 10th grade trying to get ready for the next school year. Sorry the triangle did not come out to well on the email.
Found 2 solutions by solver91311, MathTherapy:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Your picture is a little whack as compared to your description. If the measure of angle A is indeed 96 degrees, then A has to be the vertex angle of your isosceles triangle. That's because if one of the base angles measured 96 degrees, then the other base angle must also measure 96 degrees, and you cannot have two angles greater than or equal to 90 degrees in any triangle -- and that is because the sum of the measures of the angles in any triangle is 180 degrees. So you see two 96 degree angles would mean that you have the sum of the interior angles at greater than 192 degrees -- impossible.

So, given that the vertex (or apex if you would rather) measures 96 degrees, subtract 96 from 180 and divide what you have left by 2 giving you the measure of your two base angles.

John

My calculator said it, I believe it, that settles it

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
I have a diagram of an isosceles triangle The verticals A and B are shown to be congruent. The only information that is given is the angel of A It is 96 deg. The practice question asks for the values of the angles for B and C.
B/\
/ \
/ \
96 /______\C
How can I find B and C?
I am in 10th grade trying to get ready for the next school year. Sorry the triangle did not come out to well on the email

Since angle A = , and this is an isosceles triangle, then the sum of the congruent angles = 180 - 96, or . Thus, angle B & C measure , or each.

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