Question

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

Answer 1

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.