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photoshop1234 [79]
3 years ago
15

What is the value of d? Assume that the line is a tangent to the circle.

Mathematics
2 answers:
motikmotik3 years ago
5 0

We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to 118^{0}.

Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

\measuredangle x=\frac{1}{2}m \widehat{ABC}

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

360^{0}-118^{0}=242^{0}

Now we will plug given values in our  formula,

d^{0}=\frac{242}{2}=121

Therefore, the measure of d is 121 degrees.


Lelechka [254]3 years ago
4 0
The measure of angle d is 1/2 measure of 118 (angle formed by a tangent and a chord theorem)
d=59degrees
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