The values of the angles are
i) acute ∠AOB = 10°
ii) acute ∠COD = 25°
iii) acute ∠BOC = 40°
iv) acute ∠AOD = 75°
Calculating the measured of angles
From the question, we are to determine the measures of the angles
i) acute ∠AOB
From the given diagram,
∠AOB = 10°
ii) acute ∠COD
From the given diagram,
∠COD= 25°
iii) acute ∠BOC
From the diagram, we can write that
∠AOB+∠BOC+ ∠COD + ∠DOE = 90° (Angles at a right angle)
10° + ∠BOC + 25° + 15° = 90°
∠BOC + 50° = 90°
∠BOC = 90° - 50°
∠BOC = 40°
iv) acute ∠AOD
From the diagram,
∠AOD = ∠AOB + ∠BOC +∠COD
∠AOD = 10° + 40° + 25°
∠AOD = 75°
Hence, the values of the angles are
i) acute ∠AOB = 10°
ii) acute ∠COD = 25°
iii) acute ∠BOC = 40°
iv) acute ∠AOD = 75°
Learn more on Calculating measures of an angle here: https://brainly.com/question/26354356
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