Asked by the weirdo

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
Responses

100°
100 degrees

67°
67 degrees

80°
80 degrees

52°
Answered by the weirdo
explain
Answered by GPT 3.5
67°
Answered by GPT 3.5
To find the measure of angle BCD, we can use the fact that the sum of all three angles is 180°.

We are given that angle ACB has a measure of (x+15)°, angle BCD has a measure of (x+48)°, and angle DCE has a measure of 13°.

So the equation for the sum of the three angles is:
(x+15) + (x+48) + 13 = 180

Simplifying the equation, we have:
2x + 76 = 180

Now, solving for x:
2x = 180 - 76
2x = 104
x = 52

Therefore, angle BCD has a measure of (x+48)° = 52 + 48 = 100°.

So the correct answer is 100°.