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Bumek [7]
2 years ago
7

Please answer this and I will give u a cookie ;)

Mathematics
1 answer:
Gemiola [76]2 years ago
6 0

Answer:

m∠BAC = 40°

Step-by-step explanation:

Note that line BD passes through A, so ∠BAC and ∠CAD form a linear pair.  By the Linear Pair Postulate, ∠BAC and ∠CAD are supplementary angles, and by definition their measures add to 180°:

m∠BAC + m∠CAD = 180°


Since the diagram gives us that m∠CAD = 140°, we can substitute and solve:

<u>Starting supplementary angles definition equation ...</u>

m∠BAC + m∠CAD = 180°

<u />

<u>Substituting the known value of m∠CAD ...</u>

m∠BAC + (140°) = 180°

<u>Subtracting 140° from both sides of the equation...</u>

(m∠BAC + 140°) - 140° = (180°) - 140°

<u>Simplifying/evaluating...</u>

m∠BAC = 40°

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