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?

A. 52

B. 100

C. 67

D. 80

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since the three angles ACB, BCD, and DCE add up to 180 degrees, we can write 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

Finally, dividing both sides by 2, we find:

x = 52

Therefore, the measure of BCD is:

x + 48 = 52 + 48 = 100

The answer is B. 100.