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O is the center of the given circle. The measure of angle O is 128°. The diagram is not drawn to scale.
Assuming that lines that appear to be tangent are tangent, what is the value of x?

O is the center of the given circle The measure of angle O is 128 The diagram is not drawn to scale Assuming that lines that appear to be tangent are tangent wh class=

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calculista
we know that

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°--------> by central angle
m ACB=360°-128°-----> m ACB=232°
∠x=(1/2)*[m ACB-m AB]
∠x=(1/2)*[232-128]-----> ∠x=(1/2)*104°-----> ∠x=52°

the answer is
∠ x is 52°
Ver imagen calculista
Raphianna
The answer is 52°

Hope I helped :)

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