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C is in the interior of LABD. m/ABC= (2x+12)°, m/CBD = (3x + 10)°, and m/ABD = 72°. Find m/ABC.

C is in the interior of LABD. m/ABC= (2x+12)°, m/CBD = (3x + 10)°, and m/ABD = 72°. Find m/ABC.
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5 votes
C is in the interior of LABD. m/ABC=

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

asked
User Nachiketkulk
by
8.0k points

1 Answer

4 votes

Answer:

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)

answered
User Mheinzerling
by
8.3k points
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