To find the measure of ∠BCD, we can set up an equation using the fact that the sum of the angle measures in a triangle is 180°.
(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
The measure of ∠BCD is (x + 48)°, so substituting x = 52, we get:
∠BCD = 52 + 48 = 100°
Therefore, the measure of ∠BCD is 100 degrees.
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°
1 answer