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.Com
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)   (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=__________°.
-------------
You have an isosceles triangle.
The vertex angle is 80 deg.
The 2 base angles are opposite equal sides and therefore equal.
------
Each of the base angles is (180-80)/2 = 50 degrees
m∠ABC= 50° and m∠ACD= 50°.
-------------
Cheers,
Stan H.
-----------------

RELATED QUESTIONS

Consider △ABC, where AB = AC = 13 units, and m∠BAC= 80°. What are the... (answered by josgarithmetic,MathTherapy)
△ABC is similar to △RST . In addition, m∠C=76° and... (answered by Fombitz)
In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of (answered by Boreal)
In △ABC, m∠A = x, m∠B = 2x + 2, and m∠C = 3x + 4. What is the... (answered by Fombitz)
If point E is in the interior of ∠ABC and m∠EBC=23 and m∠ABC=88, what... (answered by Theo)
https://homework.russianschool.com/resource?key=00qba Given: △ABC, AB ≅... (answered by ikleyn)
The perpendicular bisector of side AB of ∆ABC intersects the extension of side AC... (answered by greenestamps)
In triangle ABC, m∠A=53° and m∠B=84°.... (answered by ikleyn)
Consider the following triangles, △ABC and △DFE.... (answered by ikleyn)