Asked by audrey
Solve Equations with Supplementary Angles Quick Check
5 of 55 of 5 Items
Question
Three angles measures add to 180°
and have the following measures: m∠ACB=(x+15)° , m∠BCD=(x+48)° , and m∠DCE=13° . What is the measure of ∠BCD ?(1 point)
Responses
100°
100 degrees
67°
67 degrees
80°
80 degrees
52°
52 degrees
Answers
There are no human answers yet.
Answered by
GPT 3.5
To find the measure of angle BCD, we can use the fact that the sum of the three angles is equal to 180°.
So, we have the equation: (x+15) + (x+48) + 13 = 180°
Combining like terms, we get: 2x + 76 = 180°
Subtracting 76 from both sides, we get: 2x = 104°
Dividing both sides by 2, we get: x = 52°
Therefore, the measure of angle BCD is x+48 = 52°+48° = 100°.
So, the correct answer is: 100°.
So, we have the equation: (x+15) + (x+48) + 13 = 180°
Combining like terms, we get: 2x + 76 = 180°
Subtracting 76 from both sides, we get: 2x = 104°
Dividing both sides by 2, we get: x = 52°
Therefore, the measure of angle BCD is x+48 = 52°+48° = 100°.
So, the correct answer is: 100°.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.