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18 March, 21:47

Ray

OC

divides ∠AOB into two angles. Find the measurement of ∠AOC, if m∠AOB = 155°, and m∠AOC is by 15° greater than m∠COB.

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Answers (1)
  1. 18 March, 22:04
    +1
    We are given that:

    m∠AOB = m∠AOC + m∠COB

    We are also given that:

    m∠AOC = m∠COB + 15

    m∠AOB = 155

    Therefore:

    155 = m∠COB + 15 + m∠COB

    2 m∠COB = 140

    m∠COB = 70°

    and,

    m∠AOC = m∠COB + 15 = 85°

    Answers:

    m∠COB = 70°

    m∠AOC = 85 °
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