Since the sum of the three angle measures is 180°, we can set up the equation:
(x+15) + (x+48) + 13 = 180
Combining like terms, 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°. Answer: \boxed{100}.
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)
1 answer