Question

If A is the incenter of triangle CDE, find each measure.
a) mZDCE
b) m CDE
c) mzDAE
PLEASE HELP FOR GEOMETRY

Answer 1

9514 1404 393

Answer:

  m∠DCE = 58°

  m∠CDE = 74°

  m∠DAE = 119°

Step-by-step explanation:

The incenter is the point of intersection of the angle bisectors. The angles on either side of the bisector have the same measure. Of course, the sum of angles in a triangle is 180°.

  m∠DCE = 2×29° = 58°

  m∠CDE = 180° -58° -2×24° = 74°

  m∠DAE = 180° -74°/2 -24° = 119°