kobo1023rox kobo1023rox

17-07-2020
Mathematics

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Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°Find the measures of ∠AOC, ∠COB, ∠BOD, ∠DOA.

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sqdancefan sqdancefan

17-07-2020

Answer:

all are 90°

Step-by-step explanation:

Vertical angles are congruent, and linear angles are supplementary, so we have ...

∠AOC + ∠COB + ∠BOD = 270°

180° + ∠BOD = 270°

∠BOD = 90°

Since the lines cross at right angles, all of the angles are 90°.

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