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AB, CD, and EF intersect at O. If CD is perpendicular to EF and m

AB, CD, and EF intersect at O. If CD is perpendicular to EF and m-example-1
User Harinath
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1 Answer

4 votes

Answer:

m(∠AOF) = 148°

Explanation:

From the figure attached,

CD intersects line EF at a point O.

Line CD is perpendicular to the line EF.

m(∠AOE) = 32°

m(∠COE) = 90°

Since m(∠COE) = m(∠AOE) + m(∠AOC) = 90°

32° + m(∠AOC) = 90°

m(∠AOC) = 90° - 32° = 58°

m(∠AOF) = m(∠AOC) + m(∠COF)

= 58° + 90°

= 148°

Therefore, m(∠AOF) = 148° will be the answer.

User Kasapo
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