SOLUTION: in the accompanying diagram of ΔABC, AB is extended to E and D, exterior angle CBD measures 130°, and m∠C = 75° Find m∠CAE.

Algebra ->  Triangles -> SOLUTION: in the accompanying diagram of ΔABC, AB is extended to E and D, exterior angle CBD measures 130°, and m∠C = 75° Find m∠CAE.      Log On


   

Question 1105541: in the accompanying diagram of ΔABC, AB is extended to E and D,
exterior angle CBD measures 130°, and m∠C = 75° Find m∠CAE.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Since there is no accompanying diagram, I drew one.  It may not
be turned the same way as the one in your book.



∠CBD and ∠ABC form a linear pair so m∠ABC = 180°-130° = 50°



∠CAE is an exterior angle of ΔABC.
The measure of an exterior angle is the sum of the measures
of the two remote interior angles.  The two remote interior
angles are ∠ABC and ∠C .

So m∠CAE = 50°+75° = 125°

Edwin