Question

Three angles measures add to 180° and have the following measures: m ACB = (x+15)°, m BCD = (×+48)°, and m DCE =13°. What is the measure of BCD?

A. 100°
B. 67°
C. 80°
D. 52°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measure of BCD, we can use the fact that the sum of the measures of the angles in a triangle is 180°.

So, we have the equation:

(x+15)° + (x+48)° + 13° = 180°

Combining like terms, we get:

2x + 76° = 180°

Subtracting 76° from both sides, we get:

2x = 104°

Dividing both sides by 2, we get:

x = 52°

Therefore, the measure of BCD is (x+48)° = 52° + 48° = 100°.

Therefore, the correct answer is A. 100°.