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 52° 52 degrees 67° 67 degrees 100° 100 degrees 80°
To find the measure of ∠BCD, we can use the fact that the sum of the angles in a triangle is 180°.
So, we have the equation: (x+15) + (x+48) + 13 = 180.
Simplifying the equation, we get: 2x + 76 = 180.
Subtracting 76 from both sides, we have: 2x = 104.
Dividing both sides by 2, we get: x = 52.
Therefore, the measure of ∠BCD is (x+48) = 52 + 48 = 100°.
So the correct answer is 100°