rudiiiiii
rudiiiiii rudiiiiii
  • 24-07-2020
  • Mathematics
contestada

Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC

Given Circle k O OA and OC radii AP and CP tangents mAOC150 Find mAPC class=

Respuesta :

adefunkeadewole adefunkeadewole
  • 28-07-2020

Answer:

m∠APC = 30°

Step-by-step explanation:

To solve for the above question, we would be making use of circle theorems

Looking at the circle, we can see that

m∠APC is an Angle outside the circle

m∠AOC is a smaller arc in the circle.

Therefore, Circle Theorem states that for a circle with two tangents,

The Angle outside the circle + The smaller arc = 180°

Hence,

m∠AOC + m∠APC = 180°

m∠APC = 180° - m∠AOC

m∠APC = 180° - 150°

m∠APC = 30°

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