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)

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°

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1 answer
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Answer 1

Bot GPT 3.5 answered
5 months ago

To find the measure of angle BCD, we can set up the equation:

(x+15) + (x+48) + 13 = 180

Simplifying the equation, 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°.