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4 votes
7. If mBY
= 41°, what is m YAC? The figure is not drawn to scale. (1 point)

7. If mBY = 41°, what is m YAC? The figure is not drawn to scale. (1 point)-example-1
User Tim Lloyd
by
4.9k points

2 Answers

4 votes


\\ \sf\longmapsto m<BOY=41°

We know


\\ \sf\longmapsto m<BOY=2m<{BAY}


\\ \sf\longmapsto m<BAY=41/2=20.5°

Now


\\ \sf\longmapsto 20.5°+m<YAC=90°


\\ \sf\longmapsto m<YAC=90-20.5=69.5°

User Avifen
by
4.3k points
1 vote

c. ∡YAC=69.5°

Answer:

solution given:

arc m BY=41°

it is a central angle,

its inscribed angle is half of its=41/2=20.5°

we know that

tangent in the circle is perpendicular to the center,so

∡BAC=90°

∡BAY+∡YAC=90°

20.5°+∡YAC=90°

∡YAC=90°-20.5°

∡YAC=69.5°

Explanation:

User Jeanelle
by
4.2k points