Three angles measure add up to 180 and have the following measures a CB equals X +15 BCD equals X +48 and DCE equals 13°. What is the measure of BCD
Let's solve for X.
We know that the sum of the three angles equals 180 degrees:
CB + BCD + DCE = 180
Substituting the given measures:
(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 X, we can find the measure of BCD:
BCD = X + 48
BCD = 52 + 48
BCD = 100
Therefore, the measure of BCD is 100 degrees.