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2 years ago

In circle O, what is m∠MAJ? °

Mathematics

1 answer:

mr_godi [17]2 years ago

4 0

See the attached figure.

m ∠KAJ = 170° & m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ Opposite angles.

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°

So, the answer is : m ∠MAJ = 55°

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$\sf\huge\underline{\star Solution:-}$

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Hope it helps you:)

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2 years ago

Read 2 more answers

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2 years ago

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Answer:

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Step-by-step explanation:

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