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
80°
67°
100°
52°
To find the measure of angle BCD, we need to set up the equation:
(x+15) + (x+48) + 13 = 180
Combine like terms:
2x + 76 = 180
Subtract 76 from both sides:
2x = 104
Divide both sides by 2:
x = 52
Now we can find angle BCD:
BCD = x + 48
BCD = 52 + 48
BCD = 100°
Therefore, the measure of angle BCD is 100°.