Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m AB =64° and ABC=73° , mACB=.° and mAC=.°

Inscribed angles are formed when two chords have 1 common endpoint. The measure of and  are:

Given that:

See attachment

First, we calculate using:

----- An inscribed angle is half the arc it intercepts

So, we have:

Using the same theorem, we calculate as follows:

So, we have:

Multiply both sides by 2

Hence:

Read more about inscribed angles at:

link

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step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c