Give your answers as algebraic expressions.

Question

An angle with a measure of 2x is external to an isosceles triangle. What are the possible measurements for the angels?

Answer 1

Let's not get into the subject of measuring angels.

 

It would help a lot if the question told us whether the 2x external angle measurement is for a base angle, or the vertex angle. Perhaps that's the conundrum that we're supposed to consider.

 

Case I.  External angle of base angle measures 2x; therefore each base angle measures 180^o - 2x.

Therefore the vertex angle + both base angles totals 180:  360 - 4x +v = 180.

Conclusion: vertex angle measures 4x-180.

 

Case II. 2x is the measure of the external angle at the vertex.  Why don't you play around with this to determine what EACH BASE ANGLE would be?