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

asked Jan 12, 2023 15.7k views

5 votes

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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4 votes

Answer:

32°

Explanation:

Using the angle addition postulate,

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

Mheinzerling answered Jan 19, 2023

7.1k points

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