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1. Use the diagram to find the measures of each angle. Explain your reasoning a. ABCb. ABE C. EBD

1. Use the diagram to find the measures of each angle. Explain your reasoning a. ABCb-example-1
User Nagy Ervin
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1 Answer

6 votes

The angle ABE is opposite the angle CBE and therefore, they are equal; hence,

ABE = 50°

The angle ABC and CBE are supplementary, meaning they add up to 180; therefore,

ABC + 50° = 180°

subtracting 50° from both sides gives

ABC = 120°

The angle EBD is opposite the angle ABC and therefore, they are equal; hence, we have

EBD = ABC = 120°

EBD = 120°

To summarize, our answers are

a. ABC = 120°

b. ABE = 50°

c. EBD = 120°

User Kastaneda
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