O is the center of the given circle. The measure of angle O is 128°. The diagram is not drawn to scale.
2 answers:
We know that
<span>The measure of the external angle is the semi difference of the arcs that it covers.
so
see the picture attached to better understand the problem
m AB=128</span>°--------> by central angle
<span>m ACB=360</span>°-128°-----> m ACB=232°<span>
</span>∠x=(1/2)*[m ACB-m AB]<span>
</span>∠x=(1/2)*[232-128]-----> ∠x=(1/2)*104°-----> ∠x=52°
<span>
the answer is
</span>∠ x is 52°<span>
</span>
<span>The measure of the external angle is the semi difference of the arcs that it covers.
so
see the picture attached to better understand the problem
m AB=128</span>°--------> by central angle
<span>m ACB=360</span>°-128°-----> m ACB=232°<span>
</span>∠x=(1/2)*[m ACB-m AB]<span>
</span>∠x=(1/2)*[232-128]-----> ∠x=(1/2)*104°-----> ∠x=52°
<span>
the answer is
</span>∠ x is 52°<span>
</span>
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