Question

C is in the interior of LABD. m/ABC=

(2x+12)°, m/CBD = (3x + 10)°, and
m/ABD = 72°. Find m/ABC.

Answer 1

32°

Explanation:

Using the angle addition postulate,

`3x+10+2x+12=72 \\ \\ 5x+22=72 \\ \\ 5x=50 \\ \\ x=10 \\ \\ \implies m\angle ABC=2(10)+12=32^(\circ)`