In circle o what is m


Asked by maham237 @ in Mathematics viewed by 306 People


In circle O, what is m∠MAJ?

Answered by maham237 @



we know that

The measure of the interior angle is the half-sum of the arcs comprising it and its opposite.

so

Find the measure of the angle LAM

m∠LAM is equal to

\frac{1}{2}*[arc\ KJ+arc\ LM]= \frac{1}{2}*[170+80]\\\\=125\ degrees

Find the measure of the angle MAJ

we know that

m∠LAM+m∠MAJ=180° ------> by supplementary angles

m∠MAJ=(180-125)

m∠MAJ=55°

therefore

the answer is

The measure of the angle MAJ is 55\ degrees


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