TogaHimiko122009
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

State the values of the angles below:
i) acute ∠AOB=
ii) acute ∠COD=
iii) acute ∠BOC=
iv) acute ∠AOD=

State The Values Of The Angles Below I Acute AOB Ii Acute COD Iii Acute BOC Iv Acute AOD class=

Sagot :

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

#SPJ1

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.