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3 years ago

3

If mAD = (19x – 49)° and mCD = (5x + 37)°, find mCD . 12. mCD

1 answer:

tia_tia [17]3 years ago

3 0

Correction

brainly.com/question/15665216

Answer:

mCD=77°

Step-by-step explanation:

-The measure of the arc angle subtending from the diameter adds up to 180° .

-Given mAD=(19x – 49)° and mCD = (5x + 37)°, we equate their sums to 180° and solve for x:

$mAD+mCD=180\textdegree\\\\\\(19x-49)\textdegree+(5x+37)\textdegree=180\textdegree\\\\\\24x=192\textdegree\\\\x=8\textdegree\\\\\\\therefore mCD=(5x+37)\textegree=(5\times8+37)\textdegree\\\\\\=77\textdegree$

Hence, mCD=77°

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