SOLUTION: Consider △ABC, where AB=AC=13 units, and m∠BAC=80°. What are the measures of ∠ABC and ∠ACB? m∠ABC=__________° and m∠ACD=__________°.

Algebra ->  Triangles -> SOLUTION: Consider △ABC, where AB=AC=13 units, and m∠BAC=80°. What are the measures of ∠ABC and ∠ACB? m∠ABC=__________° and m∠ACD=__________°.      Log On


   



Question 1107552: Consider △ABC, where AB=AC=13 units, and m∠BAC=80°. What are the measures of ∠ABC and ∠ACB?
m∠ABC=__________° and m∠ACD=__________°.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consider △ABC, where AB=AC=13 units, and m∠BAC=80°. What are the measures of ∠ABC and ∠ACB?
m∠ABC=__________° and m∠ACD=__________°.
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You have an isosceles triangle.
The vertex angle is 80 deg.
The 2 base angles are opposite equal sides and therefore equal.
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Each of the base angles is (180-80)/2 = 50 degrees
m∠ABC= 50° and m∠ACD= 50°.
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Cheers,
Stan H.
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