Three angles measures add to 180 degree and have the following measures m acb=(x+15) degree m bcd=(x+48) degree and m dce=13 degree what is the measure of bcd
100 degree
52 degree
80 degree
67 degree
The sum of the measures of the three angles is supposed to be 180 degrees.
m acb + m bcd + m dce = (x+15) + (x+48) + 13 = 2x + 76
Since the sum of the three angles is 180 degrees, we set up the equation:
2x + 76 = 180
Subtract 76 from both sides:
2x = 104
Divide both sides by 2:
x = 52
To find the measure of BCD, substitute x = 52 into the expression for m bcd:
m bcd = x + 48 = 52 + 48 = 100
Therefore, the measure of BCD is 100 degrees.
The correct answer is 100 degree.