In the accompanying diagram, tangent PA and secant PBC are drawn to circle O from point P. If
the measure of arc AC = 80° and the measure of
arc AB
= 60°, what is the m2P?
A. 5
B. 10
C. 70
D.20

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.

step-by-step explanation:

the answer is 89 d

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