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
Answers
Answered by
GPT 3.5
In order to find the measure of ∠BCD, we need to solve the equation:
(x+15)° + (x+48)° + 13° = 180°
Combining like terms on the left side of the equation:
2x + 76° + 13° = 180°
Combine like terms:
2x + 89° = 180°
Subtract 89° from both sides of the equation:
2x = 91°
Divide both sides of the equation by 2:
x = 45.5°
So the measure of ∠BCD is:
x+48° = 45.5° + 48° = 93.5°
(x+15)° + (x+48)° + 13° = 180°
Combining like terms on the left side of the equation:
2x + 76° + 13° = 180°
Combine like terms:
2x + 89° = 180°
Subtract 89° from both sides of the equation:
2x = 91°
Divide both sides of the equation by 2:
x = 45.5°
So the measure of ∠BCD is:
x+48° = 45.5° + 48° = 93.5°
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