Find the value of x in the figure below. Show all steps. circle with two secants forming an angle to one side of the circle; the
two secants cut out arcs of measure 158 degrees and 64 degrees; the angle formed by the two secants is 9 x minus 5 degrees
1 answer:
The complete question in the attached figure
we know that
<span>An<span> exterior angle</span></span><span> is one that has its vertex at an outer point of the circumference.
</span><span>The measure of the external angle is the semi-difference of the arcs that it covers.
in this problem the external angle is </span>∡(9x-5)°
and
the semi-difference of the arcs that it covers is (1/2)*(158°-64°)=47°
then
(9x-5)=47-------> 9x=47+5----------> 9x=52--------> x=5.78°
the answer is
x=5.78°
we know that
<span>An<span> exterior angle</span></span><span> is one that has its vertex at an outer point of the circumference.
</span><span>The measure of the external angle is the semi-difference of the arcs that it covers.
in this problem the external angle is </span>∡(9x-5)°
and
the semi-difference of the arcs that it covers is (1/2)*(158°-64°)=47°
then
(9x-5)=47-------> 9x=47+5----------> 9x=52--------> x=5.78°
the answer is
x=5.78°
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Answer:
b = -152
Step-by-step explanation:
- 7 + 12 = 19
- Plug 19 in:
- Multiply each side by 19 to cancel out the 19 under b. It should now look like this: b = -152
I hope this helps!