Three angles measures add to 180 and have the following measures MACB equals X +15 BCD equals X +48 and MDCE equals 13 what is the measure of BCD
100
52
80
67
To find the measure of angle BCD, we need to set up an equation based on the given information.
We know that the sum of the three angles is 180.
So, (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, we can find the measure of angle BCD by substituting X = 52 into the expression:
BCD = X + 48 = 52 + 48 = 100.
Therefore, the measure of angle BCD is 100 degrees.