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°.
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°
1 answer
5 answers