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Math II-A Geometry 1.28

 
 
ZhengClaire的头像
Math II-A Geometry 1.28
ZhengClaire - 2020年11月25日 Wednesday 21:05
 
Let ABC be a triangle with AB = AC and ∠BAC = 20°, and let P be a point on side AB such that AP = BC. Find ∠ACP. I know that ABC is a isosceles triangle with B and C as 80° each. Since two segments are equal to each other, there is probably something involving either congruent or similar triangles, or both.  Can I get a hint for how to solve this? Thank you.
 
WangDr. Kevin的头像
Re: Math II-A Geometry 1.28
WangDr. Kevin - 2020年11月25日 Wednesday 23:51
 

You are on the right track.  Since $AP=BC$, can you make a new triangle with base $AP$ and congruent to $\triangle ABC$?