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OpenStudy (studygurl14):
m<S = 30 degrees, measure of arcRS = 84 degrees, and line RU is tangent to the circle at R. Find m<U. The figure is not drawn to scale.
OpenStudy (studygurl14):
@SolomonZelman @hartnn
OpenStudy (studygurl14):
@RaphaelFilgueiras
ganeshie8 (ganeshie8):
use this :-
external angle = (far arc - near arc)/2
OpenStudy (studygurl14):
so I have to find arcRT first?
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ganeshie8 (ganeshie8):
yes, near arc RT = 2x inscribed angle
ganeshie8 (ganeshie8):
you're given inscribed angle S = 30, so...
OpenStudy (studygurl14):
oh, so would m<U = 12 degrees?
ganeshie8 (ganeshie8):
\(\large \color{red}{\checkmark}\)
ganeshie8 (ganeshie8):
good work !!
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OpenStudy (studygurl14):
could you help me with another one?
ganeshie8 (ganeshie8):
sure
OpenStudy (studygurl14):
Find the value of x for the measure of arcAB = 27° and the measure of arcCD = 49°. The figure is not drawn to scale
OpenStudy (studygurl14):
I think it is 38 degrees. I'm not sure tho
ganeshie8 (ganeshie8):
38 is right,
may i knw how u got that ha ?
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OpenStudy (studygurl14):
(27 + 49)÷2
ganeshie8 (ganeshie8):
thats correct formula !
OpenStudy (studygurl14):
Find m<D for m<B = 65°. The figure is not drawn to scale
ganeshie8 (ganeshie8):
hint : radius and tangent make 90 degree angle
ganeshie8 (ganeshie8):
hint2 : sum of angles in a quadrilateral = 360
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OpenStudy (studygurl14):
OH!! Sorry I remember how to do this now. hold on
ganeshie8 (ganeshie8):
good :) let me knw if u need more hints lol
ganeshie8 (ganeshie8):
it can be tricky :o
OpenStudy (studygurl14):
is it 115°?
ganeshie8 (ganeshie8):
115 = \(\large \color{red}{\checkmark}\)
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OpenStudy (studygurl14):
A park maintenance person stands 16m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 47 degrees. What is the measure of the arc of the monument that her lines of sight intersect?