can you help me understand this question? I thought it was b bt now im not so sure. 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
52°
52 degrees
80°
80 degrees
100°
100 degrees
67°
67 degrees
The question is asking for the measure of angle BCD.
We know that the three angles (ACB, BCD, and DCE) add up to 180°.
The measure of angle ACB is given as (x+15)°, the measure of angle BCD is given as (x+48)°, and the measure of angle DCE is given as 13°.
To find the measure of angle BCD, we can use the fact that the sum of the three angles is 180°.
So we can set up the equation: (x+15) + (x+48) + 13 = 180.
Simplifying the equation, we get: 2x + 76 = 180.
Next, we can solve for x by subtracting 76 from both sides: 2x = 104.
Finally, we divide both sides by 2 to solve for x: x = 52.
Therefore, the measure of angle BCD is (x+48)°, which is 52 + 48 = 100°.
So the correct answer is 100°.