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 ZBCD? (1 point)
O 100°
O 67°
O 52°
O 80°
To find the measure of angle ZBCD, we need to find the value of x.
Since three angles in a triangle add up to 180°, we can set up the equation:
(x+15) + (x+48) + 13 = 180
Combining like terms:
2x + 76 = 180
Subtracting 76 from both sides:
2x = 104
Dividing both sides by 2:
x = 52
Now that we know the value of x, we can find the measure of angle ZBCD:
m/BCD = (x + 48) = 52 + 48 = 100°
Therefore, the measure of ZBCD is 100°. The answer is O 100°.