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4 votes
In circle O, what is m∠MAJ? °

2 Answers

3 votes

Answer:

its B.

Explanation:

User TroelsGP
by
4.9k points
2 votes

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°

In circle O, what is m∠MAJ? °-example-1
User Shaurya Mittal
by
5.6k points